# Mathematics Entrance Test 8

Mathematics Entrance Test

Mathematics Objective Type Questions with Answers for the preparation of Engineering Entrance Test like AIEEE, IIT-JEE, CET etc.

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

(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

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

(a) (−∞, 0) ∪ (0, ∞)
(b) (−∞, −1) ∪ (−1, ∞)
(c) (−∞, ∞)
(d) (0, ∞)

(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

(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

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

(a) sinx
(b) cosx
(c) -sinx
(d) -cosx

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

(a) 10
(b) 0
(c) 1
(d) -1