WBJEE Previous Year - 2011

Question 1

The eccentricity of the hyperbola 4x² – 9y² = 36 is

Accepted Answer

&radic;13/3

Answer

&radic;11/3

Answer

&radic;15/3

Answer

&radic;14/3

Question 2

The length of the latus rectum of the ellipse 16x² + 25y² = 400 is

Accepted Answer

32/5 unit

Answer

5/16 unit

Answer

16/5 unit

Answer

5/32 unit

Question 3

The vertex of the parabola y² + 6x – 2y + 13 = 0 is

( y −1)²= −6x − 12

( y −1)²= −6(x +12) = 4(-6/4)(x+2)

Vertex →(−2, 1)

Accepted Answer

(&ndash;2, 1)

Answer

(1, &ndash;1)

Answer

(3/2, 1)

Answer

(–7/2, 1)

Question 4

The coordinates of a moving point p are (2t² + 4, 4t + 6). Then its locus will be a

Accepted Answer

parabola

Answer

circle

Answer

straight line

Answer

ellipse

Question 5

The equation 8x² + 12y² – 4x + 4y – 1 = 0 represents

Accepted Answer

an ellipse

Answer

a hyperbola

Answer

a parabola

Answer

a circle

Question 6

If the straight line y = mx lies outside of the circle x² + y² – 20y + 90 = 0, then the value of m will satisfy

Accepted Answer

|m| < 3

Answer

m < 3

Answer

m > 3

Answer

|m| > 3

Question 7

The locus of the centre of a circle which passes through two variable points (a, 0), (–a, 0) is

Accepted Answer

x = 0

Answer

x = 1

Answer

x + y = a

Answer

x + y = 2a

Question 8

The coordinates of the two points lying on x + y = 4 and at a unit distance from the straight line 4x + 3y = 10 are

Accepted Answer

(3, 1), (–7, 11)

Answer

(–3, 1), (7, 11)

Answer

(3, 1), (7, 11)

Answer

(5, 3), (–1, 2)

Question 9

The intercept on the line y = x by the circle x² + y² – 2x = 0 is AB. Equation of the circle with AB as diameter is

Accepted Answer

x(x – 1) +y(y – 1) = 0

Answer

x² + y²= 1

Answer

x² + y² = 2

Answer

(x –1)(x–2)+(y–1)+(y–2)= 0

Question 10

If the coordinates of one end of a diameter of the circle x2+y2+4x–8y+5=0, is (2,1), the coordinates of the other end is

Accepted Answer

(&ndash;6, 7)

Answer

(–6, –7)

Answer

(6, 7)

Answer

(7, &ndash;6)

Question 11

If the three points A(1,6), B(3, –4) and C(x, y) are collinear then the equation satisfying by x and y is

Accepted Answer

5x + y – 11= 0

Answer

5x + 13y + 5 = 0

Answer

5x –13y + 5 = 0

Answer

13x –5y +5 = 0

Question 12

and θ lies in the second quadrant, then cosθ is equal to

Accepted Answer

Answer

Answer

Answer

Question 13

The solutions set of inequation cos^–1x < sin^–1x is

Accepted Answer

(1/√2, 1]

Answer

[&ndash;1, 1]

Answer

[1/√2, 1]

Answer

[0, 1]

Question 14

The number of solutions of 2sinx + cos x = 3 is

Accepted Answer

No solution

Answer

1

Answer

2

Answer

infinite

Question 15

Accepted Answer

&pi;/4

Answer

&pi;/2

Answer

&pi;/3

Answer

&pi;

Question 16

If θ+ φ = π/4 then (1 + tanθ)(1 + tanφ) is equal to

Accepted Answer

2

Answer

1

Answer

5/2

Answer

1/3

Question 17

If sinθ and cosθ are the roots of the equation ax² – bx + c = 0, then a, b and c satisfy the relation

Accepted Answer

a² – b² + 2ac = 0

Answer

a² + b² + 2ac = 0

Answer

a² + c² + 2ab = 0

Answer

a²– b² – 2ac = 0

Question 18

If A and B are two matrices such that A+B and AB are both defined, then

Accepted Answer

A, B are square matrices of the same order

Answer

A and B can be any matrices

Answer

A, B are square matrices not necessarily of the same order

Answer

Number of columns of A = number of rows of B

Question 19

is a symmetric matrix, then the value of x is

Accepted Answer

&ndash;4

Answer

4

Answer

3

Answer

&ndash;3

Question 20

Accepted Answer

z is purely real

Answer

z is purely imaginary

Answer

z + z-= 0

Answer

( z −z^- ) i is purely imaginary

Question 21

The equation of the locus of the point of intersection of the straight lines x sin θ + (1 – cos θ) y = a sin θ and x sin θ – (1 + cos θ) y + a sin θ = 0 is

Accepted Answer

x² + y²= a²

Answer

y &plusmn; ax

Answer

x = &plusmn; ay

Answer

y2 = 4x

Question 22

If sinθ + cosθ = 0 and 0 < θ < π, then θ

Accepted Answer

3&pi;/4

Answer

0

Answer

&pi;/4

Answer

&pi;/2

Question 23

The value of cos 15^o – sin 15^ois

Accepted Answer

1/&radic;2

Answer

0

Answer

-1/&radic;2

Answer

1/2&radic;2

Question 24

he period of the function f(x) = cos 4x + tan 3x is

Accepted Answer

&pi;

Answer

&pi;/2

Answer

&pi;/3

Answer

&pi;/4

Question 25

If y = 2x³– 2x² + 3x – 5, then for x = 2 and Δ x = 0.1 value of Δ y is

Accepted Answer

1.9

Answer

2.002

Answer

0

Answer

0.9

Question 26

The approximate value of 5√33 correct to 4 decimal places is

Accepted Answer

2.0125

Answer

2.0000

Answer

2.1001

Answer

2.0500

Question 27

The value of ²∫_-2 xcos + xsinx + 1

Accepted Answer

4

Answer

2

Answer

0

Answer

&ndash; 2

Question 28

For the function f(x) = e^{cos x}, Rolle’s theorem is

Accepted Answer

applicable when π/2 ≤ x ≤ 3π/2

Answer

applicable when 0 ≤ x ≤ π/2

Answer

applicable when 0 ≤ x ≤ π

Answer

applicable when π/4 ≤ x ≤ π/2

Question 29

The general solution of the differential equation

Accepted Answer

(A + B x)e^-4x

Answer

(A + B x)e^5x

Answer

(A + B x)e^4x

Answer

(A + B x⁴)e^4x

Question 30

Accepted Answer

0

Answer

4

Answer

1

Answer

&ndash; 1

WBJEE Sample Papers, Section Wise & Full Previous Year - 2011 Free Online

MCQ Practice Test & Solutions: WBJEE Previous Year - 2011 (240 Questions)

The eccentricity of the hyperbola 4x² – 9y² = 36 is

The length of the latus rectum of the ellipse 16x² + 25y² = 400 is

The vertex of the parabola y² + 6x – 2y + 13 = 0 is
( y −1)²= −6x − 12
( y −1)²= −6(x +12) = 4(-6/4)(x+2)
Vertex →(−2, 1)

The coordinates of a moving point p are (2t² + 4, 4t + 6). Then its locus will be a

The equation 8x² + 12y² – 4x + 4y – 1 = 0 represents

If the straight line y = mx lies outside of the circle x² + y² – 20y + 90 = 0, then the value of m will satisfy

The locus of the centre of a circle which passes through two variable points (a, 0), (–a, 0) is

The coordinates of the two points lying on x + y = 4 and at a unit distance from the straight line 4x + 3y = 10 are

The intercept on the line y = x by the circle x² + y² – 2x = 0 is AB. Equation of the circle with AB as diameter is

If the coordinates of one end of a diameter of the circle x2+y2+4x–8y+5=0, is (2,1), the coordinates of the other end is

If the three points A(1,6), B(3, –4) and C(x, y) are collinear then the equation satisfying by x and y is

and θ lies in the second quadrant, then cosθ is equal to

The solutions set of inequation cos^–1x < sin^–1x is

The number of solutions of 2sinx + cos x = 3 is

If θ+ φ = π/4 then (1 + tanθ)(1 + tanφ) is equal to

If sinθ and cosθ are the roots of the equation ax² – bx + c = 0, then a, b and c satisfy the relation

If A and B are two matrices such that A+B and AB are both defined, then

is a symmetric matrix, then the value of x is

The equation of the locus of the point of intersection of the straight lines x sin θ + (1 – cos θ) y = a sin θ and x sin θ – (1 + cos θ) y + a sin θ = 0 is

If sinθ + cosθ = 0 and 0 < θ < π, then θ

The value of cos 15^o – sin 15^ois

he period of the function f(x) = cos 4x + tan 3x is

If y = 2x³– 2x² + 3x – 5, then for x = 2 and Δ x = 0.1 value of Δ y is

The approximate value of 5√33 correct to 4 decimal places is

The value of ²∫_-2 xcos + xsinx + 1

For the function f(x) = e^{cos x}, Rolle’s theorem is

The general solution of the differential equation

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WBJEE Sample Papers, Section Wise & Full Previous Year - 2011 Free Online

MCQ Practice Test & Solutions: WBJEE Previous Year - 2011 (240 Questions)

The eccentricity of the hyperbola 4x2 – 9y2 = 36 is

The length of the latus rectum of the ellipse 16x2 + 25y2 = 400 is

The vertex of the parabola y2 + 6x – 2y + 13 = 0 is( y −1)2= −6x − 12( y −1)2= −6(x +12) = 4(-6/4)(x+2)Vertex →(−2, 1)

The coordinates of a moving point p are (2t2 + 4, 4t + 6). Then its locus will be a

The equation 8x2 + 12y2 – 4x + 4y – 1 = 0 represents

If the straight line y = mx lies outside of the circle x2 + y2 – 20y + 90 = 0, then the value of m will satisfy

The locus of the centre of a circle which passes through two variable points (a, 0), (–a, 0) is

The coordinates of the two points lying on x + y = 4 and at a unit distance from the straight line 4x + 3y = 10 are

The intercept on the line y = x by the circle x2 + y2 – 2x = 0 is AB. Equation of the circle with AB as diameter is

If the coordinates of one end of a diameter of the circle x2+y2+4x–8y+5=0, is (2,1), the coordinates of the other end is

If the three points A(1,6), B(3, –4) and C(x, y) are collinear then the equation satisfying by x and y is

and θ lies in the second quadrant, then cosθ is equal to

The solutions set of inequation cos–1x < sin–1x is

The number of solutions of 2sinx + cos x = 3 is

If θ+ φ = π/4 then (1 + tanθ)(1 + tanφ) is equal to

If sinθ and cosθ are the roots of the equation ax2 – bx + c = 0, then a, b and c satisfy the relation

If A and B are two matrices such that A+B and AB are both defined, then

is a symmetric matrix, then the value of x is

The equation of the locus of the point of intersection of the straight lines x sin θ + (1 – cos θ) y = a sin θ and x sin θ – (1 + cos θ) y + a sin θ = 0 is

If sinθ + cosθ = 0 and 0 < θ < π, then θ

The value of cos 15o – sin 15o is

he period of the function f(x) = cos 4x + tan 3x is

If y = 2x3 – 2x2 + 3x – 5, then for x = 2 and Δ x = 0.1 value of Δ y is

The approximate value of 5√33 correct to 4 decimal places is

The value of 2∫-2 xcos + xsinx + 1

For the function f(x) = ecos x , Rolle’s theorem is

The general solution of the differential equation

WBJEE Sample Papers, Section Wise & Full Mock Tests 2026

WBJEE Sample Papers, Section Wise & Full Mock Tests 2026

Top Courses for JEE

About this JEE Practice Test

Explore more JEE Study Resources

The eccentricity of the hyperbola 4x² – 9y² = 36 is

The length of the latus rectum of the ellipse 16x² + 25y² = 400 is

The vertex of the parabola y² + 6x – 2y + 13 = 0 is
( y −1)²= −6x − 12
( y −1)²= −6(x +12) = 4(-6/4)(x+2)
Vertex →(−2, 1)

The coordinates of a moving point p are (2t² + 4, 4t + 6). Then its locus will be a

The equation 8x² + 12y² – 4x + 4y – 1 = 0 represents

If the straight line y = mx lies outside of the circle x² + y² – 20y + 90 = 0, then the value of m will satisfy

The intercept on the line y = x by the circle x² + y² – 2x = 0 is AB. Equation of the circle with AB as diameter is

The solutions set of inequation cos^–1x < sin^–1x is

If sinθ and cosθ are the roots of the equation ax² – bx + c = 0, then a, b and c satisfy the relation

The value of cos 15^o – sin 15^ois

If y = 2x³– 2x² + 3x – 5, then for x = 2 and Δ x = 0.1 value of Δ y is

The value of ²∫_-2 xcos + xsinx + 1

For the function f(x) = e^{cos x}, Rolle’s theorem is