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Practice Test - Mathematics 25
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Question 1
A line AB in three–dimensional space makes angles 45° and 120° with the positive x-axis and the positive y-axis respectively. If AB makes an acute angle θ with the positive z-axis, then θ equals
Question 2
If f and g are differentiable functions in [0, 1] satisfying f(0) = 2= g(1), g(0) = 0 and f(1) = 6, then for some c ∈ ]0, 1[
Question 3
If 
and
, then 
is equal to
and, then is equal to Question 4
The two circles x2 + y2 = ax and x2 + y2 = c2 (c > 0) touch each other if
Question 5
Let z, w be complex numbers such that 
= 0 and arg zw = π. Then arg z equals
= 0 and arg zw = π. Then arg z equalsQuestion 6
Equation of the ellipse whose axes are the axes of coordinates and which passes through the point (-3, 1) and has eccentricity 
is
Question 7
The value of 
is
is Question 8
The solution of the differential equation (1 + y2) + (x − 
) 
= 0, is
) = 0, isQuestion 9
is equal toQuestion 10
Let α and β be the distant roots of ax2 + bx + c = 0, then
is equal to
is equal to- 1002 attempts
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Feb 21JEE & BITSAT
