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Sample BITSAT Maths Test - Question 1

What is the area under the curve *y = |x| + | x - 1|* between *x* = 0 and *x* = 1 ?

Sample BITSAT Maths Test - Question 2

The greatest term in the expansion of (3 + 2x)^{9}, when x = 1, is

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Sample BITSAT Maths Test - Question 3

The coordinates of the pole of the line lx+my+n=0 with respect to the circle x^{2}+y^{2}=1 are

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Sample BITSAT Maths Test - Question 4

If the line 2x - y + k = 0 is a diameter of the circle x^{2} + y^{2} + 6x -6y + 5 =0, then k is equal to

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Sample BITSAT Maths Test - Question 6

The differential equation of the family of lines passing through the origin is

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Sample BITSAT Maths Test - Question 7

Which of the following is a solution of the differential equation

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Sample BITSAT Maths Test - Question 11

Value of 1 + log x + (log x)^{2}/2! + (log x)^{3}/3! + ..... ∞ is

Sample BITSAT Maths Test - Question 12

The angle of elevation of a cloud from a point *h* mt above the surface of a lake is θ and the angle of depression of its reflection in the lake is φ . The height of the cloud is

Sample BITSAT Maths Test - Question 13

The eccentricity of the conjugate hyperbola of the hyperbola x^{2} - 3y^{2} = 1 is

Sample BITSAT Maths Test - Question 14

Which of the following functions is a solution of the differential equation (dy/dx)^{2} - x (dy/dx) + y = 0?

Sample BITSAT Maths Test - Question 15

The solution of the differential equation (dy/dx) = (y/x) + (φ (y/x)/φ' (y/x)) is

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Sample BITSAT Maths Test - Question 19

If A, B are two square matrices such that AB = A and BA = B, then

Sample BITSAT Maths Test - Question 20

For a square matrix A, it is given that AA' = I, then A is a

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Sample BITSAT Maths Test - Question 22

The real value of α for which the expression 1-i sin α/1+2 i sin α is purely real is

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Sample BITSAT Maths Test - Question 25

The equation of the normal to the curve *x*^{2} = 4*y* at (1, 2) is

Sample BITSAT Maths Test - Question 26

Two finite sets have m and n elements, the total number of subsets of the first set is 56 more than the total number of subsets of the second. The value of m and n are respectively

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Sample BITSAT Maths Test - Question 27

In how many ways can the letters of the word ARRANGE be arranged so that R's are never together?

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Sample BITSAT Maths Test - Question 28

A and B are events such that P(A ∪ B) = 3/4, P(A ∩ B) = 1/4, P(A̅)= 2/3, then P(A̅ ∩ B) is

Sample BITSAT Maths Test - Question 29

The probability that a number selected at random from the set of numbers {1,2,3,....,100} is a cube is

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Sample BITSAT Maths Test - Question 31

The perimeter of a triangle is 16cm. One of the sides is of length 6cm. If the area of the triangle is 12sq.cm, then the triangle is

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Sample BITSAT Maths Test - Question 34

If the sum of first n terms of an A.P. be 3n^{2} - n and its common difference is 6, then its first term is

Sample BITSAT Maths Test - Question 35

In a town of 10,000 families it was found that 40% family buy newspaper A, 20% buy newspaper B, and 10% families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the three newspapers, then number of families which buy A only is

Sample BITSAT Maths Test - Question 36

If f : N x N → N is such that f (m,n) = m + n where N is the set of natural numbers, then which of the following is true?

Sample BITSAT Maths Test - Question 37

The ortho centre of triangle whose vertices are (0,0), (3,0) and (0,4) is

Sample BITSAT Maths Test - Question 38

The angle between the curves y^{2}=x at x^{2}=y at (1,1) is

Sample BITSAT Maths Test - Question 40

The acute angle between the planes 2x-y+z=6 and x+y+2z=3 is

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Sample BITSAT Maths Test - Question 44

If 3i+4j and -5i+7j represent the sides of a triangle, then its area is

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