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Wednesday, February 6, 2013

Bits

BITSAT 2007 ? Sample Test Paper theatrical role I (Mathematics)
1. The material body of diagonals of a polygon of m sides is : m(m ? 1) m(m ? 2) m(m ? 3) (b) (c) (a) 2! 2! 2! The differential equation (a) 3.
z = y n ?1

(d)

m(m ? 5) 2!

2.

dy + Py = Qy n , n > 2 can be reduced to linear form by substituting: dx (b) z = y n (c) z = y n +1 (d) z = y1? n

A ray of light is coming along the line y = b from the positive direction of x axis and strikes a concave mirror whose intersection with xy rag is a parabola y 2 = 4ax . If a and b atomic number 18 positive, then the equation of the reflected ray is : 2t ( 2t x ? at 2 ) (b) y ? 2at = 2 ( x ? at 2 ) (a) y ? 2at = 2 t +1 t ?1 ?2t (c) y ? 2at = 2 ( x ? at 2 ) (d) None of these t ?1 The sum of the first n terms of the serial : (a)
2n ? n ? 1 1 3 7 15 + + + + ... is 2 4 8 16 (c) n + 2? n ? 1

4.

(b) 1 ? 2? n

(d) 2n ? 1

5.

Lim ? x ? x 2 + x ? = ? ?
x ??

(a) 1/2 6.

(b) 1

(c) ?1/2

(d) 0

If x 2 ? x + 1 = 0 then cling to of x 3n is : (a) ?1, 1 (b) 1, 0

(c) ?2, 2

(d) 0, 2

7.

? sin 6 x + cos6 x =
(a) tan ?1 (tan x ? cot x) + c (c) put down (tan x ? cot x) + c (b) ? tan ?1 (?2 cot 2x) + c (d) log (cot x ? tan x) + c

dx

8.

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In a multitude of boys, the number of arrangements of 4 boys is 12 times the number of arrangement of 2 boys. The number of boys in the group is : (a) 10 (b) 8 (c) 6 (d) None of these Equation of the diameter of the circle x 2 + y 2 ? 2x + 4y = 0 which passes through the origin is : (a) x + 2y = 0 (b) 2x + y = 0 (c) x + 3y = 0 (d) 3x + y = 0

9.

10. A fair die is tossed eight times. Probability that on the eighth throw, third half-dozen is observed is: 7 7 55 C2 ? 55 C2 ? 55 8 (a) C3 ? 8 (b) (c) (d) None of these 6 68 67

Part II (Physics) 1. In the velocity vs time graph accustomed below, find the difference in distance and displacement of the body. 25 C I 20 B 15A G H 10 I´ D F 11 13 21 4 8 time (sec) ? v(m/sec) ?40 (a) 40 m (b) 120 m E (c) 60 m (d) cant be found

2.

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