BITSAT Maths Test - 5

Question 1

The area bounded by the curve y = x³, the x-axis and the ordiantes at x = -2 and x = 1 is

Accepted Answer

15/4

Answer

9/2

Answer

15/2

Answer

17/4

Question 2

If the sum of the coefficients in the expansion of (α²x² - 2αx + 1)⁵¹ vanishes, then α is equal to

Accepted Answer

1

Answer

2

Answer

-1

Answer

-2

Question 3

The angle between the tangents from the origin to the circle (x-7)² + (y+1)² = 25 is

Accepted Answer

&pi;/2

Answer

&pi;/3

Answer

&pi;/6

Answer

&pi;/8

Question 4

The limiting point of the system of co-axial circles x²+y²-6x-6y+4=0, x²+y²-2x-4y+3=0 is

Accepted Answer

(-1,1)

Answer

(-1,2)

Answer

(-1,-2)

Answer

(1,1)

Question 5

The differential equation for the family of curves x² + y² - 2ay = 0, where a is an arbitrary constant is

Accepted Answer

(x² - y²)y′ = 2xy

Answer

2(x² + y²)y′ = xy

Answer

2(x² - y²)y′ = xy

Answer

(x² + y²)y′ = 2xy

Question 6

If [(1 + i√3)/(1 + i√3)]ⁿ is an integer ,then n is equal to

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 7

The general solution of the equation x²(dy/dx)=2 is

Accepted Answer

y=c-(2/x)

Answer

y=c+(2/x)

Answer

y=2cx

Answer

y=c-(3/x³)

Question 8

The solution of y'- y = 1, y(0) = 1 is given by y (x)

Accepted Answer

2ex - 1

Answer

-ex

Answer

-e-x

Answer

-1

Question 9

The number of points at which the function f(x)=|x-0.5|+|x-1|+tanx is not differentiable in (0,2) is

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 10

Sum of the infinite series 1 + 3/2! + 6/3! + 10/4! + ...... is

Accepted Answer

3e/2

Answer

2e

Answer

3e

Answer

4e

Question 11

If y = sec tan^⁻1 x, then (dy/dx) =

Accepted Answer

x/(1 + x²)

Answer

x√(1 + x²)

Answer

1/√(1 + x²)

Answer

x/(1 + x)

Question 12

If a flag staff of 6 mt high placed on the top of a tower throws a shadow of 2 √3 mt along the ground then the angle that the sun makes with the ground is

Accepted Answer

60o

Answer

45o

Answer

30o

Answer

75o

Question 13

A variable straight line of slope 4 intersects the hyperbola xy = 1 at two points. The locus of the point which divides the line segment between these two points in the ratio 1:2 is

Accepted Answer

16x² + 10xy + y² = 2

Answer

16x² - 10 xy + y² = 2

Answer

16x² + 10 xy + y² = 4

Answer

none of these

Question 14

The general solution of the differential equation (dy/dx) = (x²/y²) is

Accepted Answer

x³- y³ = c

Answer

x³ + y³ = c

Answer

x² + y² = c

Answer

x² - y² = c

Question 15

The area bounded by the curve y² = 9x and the lines x = 1, x = 4 and y = 0 in the first quadrant is

Accepted Answer

14

Answer

7

Answer

28

Answer

14/3

Question 16

Accepted Answer

56/65

Answer

51/65

Answer

52/65

Answer

None of these

Question 17

Accepted Answer

{6k : k ∈ Ζ }

Answer

{12k : k ∈ Ζ }

Answer

{18k : k ∈ Ζ }

Answer

{24k : k ∈ Ζ }

Question 18

Let f(x + y) = f(x)f(y) for all x and y. Suppose that f(3) = 3 and f′(0) = 11 then f′(3) is given by

Accepted Answer

33

Answer

22

Answer

44

Answer

28

Question 19

A square matrix can always be expressed as a

Accepted Answer

sum of a symmetric matrix and a skew symmetricmatrix

Answer

sum of a diagonal matrix and a skew symmetric matrix

Answer

skew matrix

Answer

skew symmetric matrix

Question 20

If A and B are square matrices and A^⁻1 and B^⁻1 of same order exists, then (AB)^⁻1 is equal to

Accepted Answer

B^⁻1 A^⁻1

Answer

AB&#8315;1

Answer

A&#8315;1 B

Answer

A^⁻1 B^⁻1

Question 21

The curved surface of the cone inscribed in a given sphere is maximum if h=

Accepted Answer

(4/3)a

Answer

(1/3)a

Answer

(2/3)a

Answer

none of these

Question 22

If z is a complex number, then | 3z − 1 | = 3 | z − 2 | represents

Accepted Answer

a line parallel to y-axis

Answer

y-axis

Answer

x-axis

Answer

a circle

Question 23

The angle between lines given by x²+4y²-7xy=0 is

Accepted Answer

tan^⁻1(√33/5)

Answer

tan^⁻1(1/3)

Answer

tan&#8315;13

Answer

tan^⁻1(5/√33)

Question 24

If x+y+1=0 tocuhes the parabola y²=λx,then λ is equal to

Accepted Answer

4

Answer

2

Answer

6

Answer

8

Question 25

The line y=mx+c touches the parabola x²=4ay if

Accepted Answer

c=-am2

Answer

c=-am

Answer

c=-am

Answer

c=a/m2

Question 26

How many words are formed from the letters of the word EAMCET so that two vowels are never together?

Accepted Answer

72

Answer

360

Answer

114

Answer

54

Question 27

Number of triangles formed by joining 12 points, no three of which are in the same straight line except 7 of them which are in a straight line, is

Accepted Answer

185

Answer

220

Answer

792

Answer

none of these

Question 28

The mean and variance of a Binomial distribution are 6 and 4. The parameter n is

Accepted Answer

18

Answer

12

Answer

10

Answer

9

Question 29

Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is

Accepted Answer

2/5

Answer

3/5

Answer

1/5

Answer

4/5

Question 30

In <img alt="" src="https://cn.edurev.in/ApplicationImages/Temp/509a5047-c9ff-4628-b440-84667a9b2da0_lg.jpg" />

Accepted Answer

2

Answer

3

Answer

4

Answer

1

BITSAT Maths Test - 5 JEE MCQs & solutions - Free

MCQ Practice Test & Solutions: BITSAT Maths Test - 5 (45 Questions)

The area bounded by the curve y = x³, the x-axis and the ordiantes at x = -2 and x = 1 is

If the sum of the coefficients in the expansion of (α²x² - 2αx + 1)⁵¹ vanishes, then α is equal to

The angle between the tangents from the origin to the circle (x-7)² + (y+1)² = 25 is

The limiting point of the system of co-axial circles x²+y²-6x-6y+4=0, x²+y²-2x-4y+3=0 is

The differential equation for the family of curves x² + y² - 2ay = 0, where a is an arbitrary constant is

If [(1 + i√3)/(1 + i√3)]ⁿ is an integer ,then n is equal to

The general solution of the equation x²(dy/dx)=2 is

The solution of y'- y = 1, y(0) = 1 is given by y (x)

The number of points at which the function f(x)=|x-0.5|+|x-1|+tanx is not differentiable in (0,2) is

Sum of the infinite series 1 + 3/2! + 6/3! + 10/4! + ...... is

If y = sec tan^⁻1 x, then (dy/dx) =

If a flag staff of 6 mt high placed on the top of a tower throws a shadow of 2 √3 mt along the ground then the angle that the sun makes with the ground is

A variable straight line of slope 4 intersects the hyperbola xy = 1 at two points. The locus of the point which divides the line segment between these two points in the ratio 1:2 is

The general solution of the differential equation (dy/dx) = (x²/y²) is

The area bounded by the curve y² = 9x and the lines x = 1, x = 4 and y = 0 in the first quadrant is

Let f(x + y) = f(x)f(y) for all x and y. Suppose that f(3) = 3 and f′(0) = 11 then f′(3) is given by

A square matrix can always be expressed as a

If A and B are square matrices and A^⁻1 and B^⁻1 of same order exists, then (AB)^⁻1 is equal to

The curved surface of the cone inscribed in a given sphere is maximum if h=

If z is a complex number, then | 3z − 1 | = 3 | z − 2 | represents

The angle between lines given by x²+4y²-7xy=0 is

If x+y+1=0 tocuhes the parabola y²=λx,then λ is equal to

The line y=mx+c touches the parabola x²=4ay if

How many words are formed from the letters of the word EAMCET so that two vowels are never together?

Number of triangles formed by joining 12 points, no three of which are in the same straight line except 7 of them which are in a straight line, is

The mean and variance of a Binomial distribution are 6 and 4. The parameter n is

Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is

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BITSAT Maths Test - 5 JEE MCQs & solutions - Free

MCQ Practice Test & Solutions: BITSAT Maths Test - 5 (45 Questions)

The area bounded by the curve y = x3, the x-axis and the ordiantes at x = -2 and x = 1 is

If the sum of the coefficients in the expansion of (α2x2 - 2αx + 1)51 vanishes, then α is equal to

The angle between the tangents from the origin to the circle (x-7)2 + (y+1)2 = 25 is

The limiting point of the system of co-axial circles x2+y2-6x-6y+4=0, x2+y2-2x-4y+3=0 is

The differential equation for the family of curves x2 + y2 - 2ay = 0, where a is an arbitrary constant is

If [(1 + i√3)/(1 + i√3)]n is an integer ,then n is equal to

The general solution of the equation x2(dy/dx)=2 is

The solution of y'- y = 1, y(0) = 1 is given by y (x)

The number of points at which the function f(x)=|x-0.5|+|x-1|+tanx is not differentiable in (0,2) is

Sum of the infinite series 1 + 3/2! + 6/3! + 10/4! + ...... is

If y = sec tan⁻1 x, then (dy/dx) =

If a flag staff of 6 mt high placed on the top of a tower throws a shadow of 2 √3 mt along the ground then the angle that the sun makes with the ground is

A variable straight line of slope 4 intersects the hyperbola xy = 1 at two points. The locus of the point which divides the line segment between these two points in the ratio 1:2 is

The general solution of the differential equation (dy/dx) = (x2/y2) is

The area bounded by the curve y2 = 9x and the lines x = 1, x = 4 and y = 0 in the first quadrant is

Let f(x + y) = f(x)f(y) for all x and y. Suppose that f(3) = 3 and f′(0) = 11 then f′(3) is given by

A square matrix can always be expressed as a

If A and B are square matrices and A⁻1 and B⁻1 of same order exists, then (AB)⁻1 is equal to

The curved surface of the cone inscribed in a given sphere is maximum if h=

If z is a complex number, then | 3z − 1 | = 3 | z − 2 | represents

The angle between lines given by x2+4y2-7xy=0 is

If x+y+1=0 tocuhes the parabola y2=λx,then λ is equal to

The line y=mx+c touches the parabola x2=4ay if

How many words are formed from the letters of the word EAMCET so that two vowels are never together?

Number of triangles formed by joining 12 points, no three of which are in the same straight line except 7 of them which are in a straight line, is

The mean and variance of a Binomial distribution are 6 and 4. The parameter n is

Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is

In

Top Courses for JEE

About this JEE Practice Test

Explore more JEE Study Resources

The area bounded by the curve y = x³, the x-axis and the ordiantes at x = -2 and x = 1 is

If the sum of the coefficients in the expansion of (α²x² - 2αx + 1)⁵¹ vanishes, then α is equal to

The angle between the tangents from the origin to the circle (x-7)² + (y+1)² = 25 is

The limiting point of the system of co-axial circles x²+y²-6x-6y+4=0, x²+y²-2x-4y+3=0 is

The differential equation for the family of curves x² + y² - 2ay = 0, where a is an arbitrary constant is

If [(1 + i√3)/(1 + i√3)]ⁿ is an integer ,then n is equal to

The general solution of the equation x²(dy/dx)=2 is

If y = sec tan^⁻1 x, then (dy/dx) =

The general solution of the differential equation (dy/dx) = (x²/y²) is

The area bounded by the curve y² = 9x and the lines x = 1, x = 4 and y = 0 in the first quadrant is

If A and B are square matrices and A^⁻1 and B^⁻1 of same order exists, then (AB)^⁻1 is equal to

The angle between lines given by x²+4y²-7xy=0 is

If x+y+1=0 tocuhes the parabola y²=λx,then λ is equal to

The line y=mx+c touches the parabola x²=4ay if