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Practice Test - Mathematics 42

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Question 1

The number of real solution of the equation

= –3 + x – x² is-

Question 2

If x = 2 + 2^1/3 + 2^2/3, then the values of x³ – 6x² + 6x is-

Question 3

If x =

dt then

Question 4

If fourth term of an HP is 3/5 and its 8^th term is 1/3, then its first term is-

Question 5

The equation of the parabola whose vertex and focus are on the positive side of the x-axis at distances a and b respectively from the origin is

Question 6

The equations of the normals at the ends of the latus rectum of the parabola y² = 4ax are given by

Question 7

The image of the point (2, 1) with respect to the line mirror be (5, 2). Then the equation of the mirror is -

Question 8

If the pair of straight lines x² − 2pxy − y² = 0 and x² − 2qxy − y² = 0 be such that each pair bisects the angle between the other pair, then

Question 9

The differential equation for all the straight lines which are at a unit distance from the origin is

Question 10

Solution of the equation cos x cos y

= – sin x sin y is-

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