BITSAT Maths Sample Question paper 1 consist **45** questions with answers based on 11th and 12th Mathematics syllabus of CBSE Board. You can download PDF of this BITSAT Math sample paper by using the link below 10th question.

**Related:** BITSAT Exam Pattern

**Question: **

If the point (1, 4) lies inside the circle x^{2} + y^{2}– 6x – 10y + p = 0 and the circle neither touches nor intersects the coordinate axes, then

(a) 0 < p < 39

(b) 25 < p < 29

(c) 9 < p < 25

(d) 9 < p < 29

Ans: (b)

**Question: **

A student is allowed to select utmost *n *books from a collection of (2n + 1) books. If the total number of ways in which he can select one book is 63, then the value of *n* is

(a) 2

(b) 3

(c) 4

(d) None of these

Ans: (b)

**Question: **

If (1 + x)^{n} = C_{0} + C_{1}x + C_{2}x^{2} + … + C_{x}x^{x}, then the value of C_{0} + 2C_{1} + 3C_{2} + … + (n + 1)C_{n} will be

(a) (n + 2)2^{n – 1}

(b) (n + 1)2^{nj}

(c) (n + 1)2^{n – 1}

(d) (n + 2)2^{n}

Ans: (a)

**Question: **

Equation of chord (AB) of circle x^{2} + y^{2} = 2 passing through the point *P* (2, 2), such that PB/PA = 3, is

(a) x = 3y

(b) x = y

(c) y = (x – 2)

(d) none of these

Ans: (b)

**Question: **

The mean and the variance of a binomial distribution are 4 and 2 respectively. Then the probability of 2 successes is

(a) 28/256

(b) 219/256

(c) 128/256

(d) 37/256

Ans: (a)

**Question: **

A point *P* moves in such a way that the ratio of its distances from two coplanar points is always fixed number (≠1). Then its locus is

(a) Straight line

(b) Circle

(c) Parabola

(d) A pair of straight lines

Ans: (b)

**Question: **

An unbiased die with faces marked 1, 2, 3, 4, 5 and 6 is rolled four times. Out of four face values obtained the probability that the minimum face value is not less than 2 and the maximum face value is not greater than 5, is

(a) 16/81

(b) 1/81

(c) 80/81

(d) 65/81

Ans: (a)

**Question: **

Volume of tetrahedron formed by the planes x + y = 0, y + z = 0, z + x = 0, x + y + z – 1 = 0 is

(a) 1/6

(b) 1/3

(c) 2/3

(d) none of these

Ans: (c)

**Question: **

In a room there are 12 bulbs of the same voltage, each having a separate switch. The number of ways to light the room with different amount of illumination is

(a) 12^{2 }– 1

(b) 2^{12}

(c) 2^{12} – 1

(d) none of these

Ans: (c)

**Related:** VITEEE Chemistry Sample Question Paper

**Question: **

The ends of the latus rectum of the conic x^{2} + 10x – 16y + 25 = 0 are

(a) (3, – 4), (13, 4)

(b) (- 3, – 4), (13, – 4)

(c) (3, 4), (- 13, 4)

(d) (5, – 8), (- 5, 8)

Ans: (c)

**Question: **

Two cards are drawn from a well shuffled pack of cards with replacement. The probability of drawing both aces is

(a) (1/13)^{2}

(b) 1/13 + 1/17

(c) 1/12 x 1/51

(d) 1/13 x 4/51

Ans: (a)

**Question: **

Let S_{n} denote the sum to *n* terms of an arithmetic progression whose first term is *a*. If the common difference is equal to S_{n} – kS_{n – 1} + S_{n – 2}, then *k* =

(a) 1

(b) 2

(c) 3

(d) none of these

Ans: (b)

**Question: **

If ax^{2} + bx + c = 0 and bx^{2} + cx + a = 0, a ¹ 0, b ¹ 0 have a common root, then the value of a^{3} + b^{3} + c^{3} – 3abc is

(a) 0

(b) 1

(c) 2

(d) 10

Ans: (a)

**Question: **

The motion of a particle along a straight line is described by the function x = (2t – 3)^{2}, where x is in metre and t is in second. Then the velocity of the particle at origin is :

(a) 0

(b) 1

(c) 2

(d) none of these

Ans: (a)

**Question: **

If *m* is the root of the equation (1 – ab)x^{2} – (a^{2} + b^{2})x – (1 + ab) = 0, and *m* harmonic means are inserted between *a* and *b*, then the difference between the last and the first of the means equals

(a) ab(a – b)

(b) a(b – a)

(c) ab(b – a)

(d) b – a

Ans: (c)

**Related:** UPSEE Maths Sample Papers

**Question: **

If z = , then

(a) Re(z) = 0

(b) Im z = 0

(c) Re(z) > 0, Im(z) > 0

(d) Re(z) > 0

Ans: (b)

**Question: **

The solution of differential equation (e^{x} + 1)ydy = (y + 1)e^{x}dx is :

(a) (e^{x} + 1) (y + 1) = ce^{y}

(b) (e^{x} + 1) | (y + 1) | = ce^{–y
}(c) (e^{x} + 1) (y + 1) = ±ce^{y}

(d) none of these

Ans: (a)

**Question: **

Find the integral factor of equation

(a)

(b)

(c)

(d) None of these

Ans: (a)

**Question: **

In any triangle AB = 2, BC = 4, CA = 3 and D is mid-point of BC, then

(a) cos B = 11/6

(b) cos B = 7/8

(c) AD = 2.4

(d) AD^{2} = 2.5

Ans: (d)

**Question: **

Equation of ellipse with foci (5, 0) and (-5, 0) and 5x – 36 = 0 as one directrix, is

(a) 11x + 36y = 196

(b) 11x + 18y = 396

(c) 11x + 18y = 198

(d) 11x + 36y = 396

Ans: (d)

**Related:** BITSAT Chemistry Questions

**Question: **

The angle between the pair of straight lines represented by 2x^{2} – 7xy + 3y^{2} = 0 is

(a) 60^{o}

(b) 45^{o}

(c) tan^{–1} (7/6)

(d) 30^{o}

Ans: (b)

**Question: **

Mean of 100 items is 49. It was discovered that 3 items 60, 70, 80 were wrongly read as 38, 22, 50 respectively. The correct mean is

(a) 48

(b) 78

(c) 50

(d) 80

amu engineering exam sample paper please