# (Paper) Maths Objective Type Questions with Answers for the preparatin of Engineering Entrance Test : AIEEE, IIT-JEE, CET : 8

**Mathematics Objective Type Questions****
with Answers for the preparation of Engineering Entrance Test** :
**AIEEE, IIT-JEE, CET**

**(Important For 10+1 & 10+2 Science
Students)**

Test 8

(1) A straight line through the point A(3,
4) is such that its intercept between the axes is bisected at A. Its equation is

(a) x + y = 7

(b) 3x − 4y + 7 = 0

(c) 4x + 3y = 24

(d) 3x + 4y = 25

Answer (c) 4x + 3y = 24

(2) In an ellipse, the distance between its
foci is 6 and minor axis is 8. Then its eccentricity is

(a) 3/5

(b) 1/2

(c) 4/5

(d) 7

Answer (a) 3/5

(4) The function f(x) = x/2 + 2/x has a local
minimum at

(a) x = 2

(b) x = −2

(c) x = 0

(d) x = 1

Answer (a) x = 2

(5) The set of points where f(x) = x / 1+|x| is
differentiable is

(a) (−∞, 0) ∪ (0,
∞)

(b) (−∞, −1) ∪
(−1, ∞)

(c) (−∞, ∞)

(d) (0, ∞)

Answer (c) (−∞, ∞)

(6) At an election, a voter may vote for any number of candidates, not greater
than the number to be elected. There are 10 candidates and 4 are of be elected.
If a voter votes for at least one candidate, then the number of ways in which he
can vote is

(a) 5040

(b) 6210

(c) 385

(d) 1110

Answer (c) 385

(7) Differentiation of logx.sinx

(a) sinx.1/x

(b) cosx.sinx + logx

(c) sinx.1/x + logx.cosx

(d) cosx.(-1/x) + 1/logx

Answer (c) sinx.1/x + logx.cosx

(8) y = sinx then evaluate dy/dx = ? then what
is Integration of ?

(a) sinx

(b) cosx

(c) -sinx

(d) -cosx

Answer (a) sinx

(9) What is the value of factorial Zero (0!)

(a) 10

(b) 0

(c) 1

(d) -1

Answer (c) 1

(10) y = sinx + cosx - 5a what is dy/dx

(a) cosx - sinx

(b) cosx + sinx -5

(c) sinx - secx

(d) sinx + cosx + 5

Answer (a) cosx - sinx

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