Maths - Online Test
Q1. The ellipse E1 : 
is inscribed in a rectangle
R whose sides are parallel to the coordinate axes. Another ellipse E2
passing through the point (0, 4) circumscribes the rectangle R . The eccentricity of the ellipse is
is inscribed in a rectangle
R whose sides are parallel to the coordinate axes. Another ellipse E2
passing through the point (0, 4) circumscribes the rectangle R . The eccentricity of the ellipse is
Answer : Option C
Explaination / Solution:
Q2.
The
truth table for ( p ∧ q
) ¬q is given below
Which one of the following is true?
Answer : Option C
Explaination / Solution:
Q3. If 
, where 
, 
, 
are any three vectors such that . ≠ 0 and . ≠ 0 ,then and are
, where , , are any three vectors such that . ≠ 0 and . ≠ 0 ,then and are
Answer : Option B
Explaination / Solution:
No Explaination.
Q4. The minimum value of the function | 3 − x | + 9 is
Answer : Option D
Explaination / Solution:
Q5. if A= 
, and AB = I2 , then B=
, and AB = I2 , then B=
Answer : Option B
Explaination / Solution:
Q6. If w( x, y , z) = x2 ( y − z ) + y2 ( z − x) + z2 ( x − y) , then ∂w/∂x + ∂w/∂y + ∂w/∂z is
Answer : Option D
Explaination / Solution:
Q7. If (z-1) / (z+1), is purely
imaginary, then | z | is
Answer : Option B
Explaination / Solution:
Q8. The value of ∞∫0 e−3x x2dx is
Answer : Option D
Explaination / Solution:
Q9. The solution of the differential equation dy/dx = 2xy is
Answer : Option A
Explaination / Solution:
Q10. sin−1 (2 cos2 x −1) + cos−1 (1− 2 sin2 x) =
Answer : Option A
Explaination / Solution:
