Mathematics - Online Test
Q1. The acute angle between the lines y = 2x and y = - 2x is
Answer : Option C
Explaination / Solution:
The angle between two straight lines is given by
Here m1 = 2 and m2 = -2
Sustituting the values we get,
=
= 4/5 <600
Q2. The inverse of the proposition (p∧∼q)→r is
Answer : Option A
Explaination / Solution:
Since
Q3. For which of the following values of m , is the area of the region bounded by the curve y = x - and the line y = mx equal to ?
Answer : Option A
Explaination / Solution:
Q4. The scalar product of two nonzero vectors is denoted by
Answer : Option A
Explaination / Solution:
The scalar product of two nonzero vectors is denoted by .and is defined by =
Q5. is equal to
Answer : Option A
Explaination / Solution:
Q6. holds good for all
Answer : Option D
Explaination / Solution:
Q7. The radius of the circle passing through the foci of the ellipse =1 and having its centre at (0, 3) is
Answer : Option B
Explaination / Solution:
=1
comparing with the standard equation we get a=4 and b=3 we get c = =
so focus is and the given centre is (0,3).
using distance formulae. we get radius =4 units
Q8.
The set of values of x for which is
Answer : Option B
Explaination / Solution:
Q9. 
Answer : Option D
Explaination / Solution:
Q10. For all odd positive integers n , the number is divisible by :
Answer : Option B
Explaination / Solution:
When n = 1 we have 0 : When n = 2 we have 24. When n = 3 we have 120 .....where all these values are multiples of 24.
