Mathematics - Online Test
Q1. The diagram given below shows that
Answer : Option A
Explaination / Solution:
Because , an object in domain cann’t have two images in its co-domain.
Q2. Find the area of triangle with vertices ( 0 ,0 ),(4 , 2) and ( 1,1).
Answer : Option D
Explaination / Solution:
Q3. Three points A , B and C are collinear if the area of triangle ABC is
Answer : Option D
Explaination / Solution:
Only non collinear points can form a triangle. Hence if the three points are collinear a triangle cannot be formed, hence the area of the triangle is zero
Q4. Let p and q be two propositions. Then the contrapositive of the implication p→q is
Answer : Option A
Explaination / Solution:
The contrapositive of p→q≡∼q→∼p
Q5. The area bounded by the curve y = 2x - and the line x + y = 0 is
Answer : Option D
Explaination / Solution:
The equation y = i.e.represents a downward parabola with vertex at ( 1, 1 ) which meets x – axis where y = 0 .i .e . where x = 0 , 2. Also , the line y = - x meets this parabola where – x = i.e. where x = 0 , 3.
Therefore , required area is :
Therefore , required area is :
Q6. If is the angle between vectors then the cross product
Answer : Option D
Explaination / Solution:
If is the angle between vectors then, the cross product :
.
.
Q7. ∫ |x| dx
Answer : Option C
Explaination / Solution:
Q8. is equal to
Answer : Option A
Explaination / Solution:
Q9. The locus of a variable point whose distance from the point ( 2, 0) is times its distance from the line is
Answer : Option A
Explaination / Solution:
Let the point be (x,y)
Hence (x-2)2 + (y-0)2 =
(x- 2)2 + y2 = (x - 9/2)
On simplifying we get the equation of an ellipse
Q10. In a triangle ABC, if a, b, c are in A. P., then tan are in
Answer : Option A
Explaination / Solution:
