Mathematics - Online Test
Q1. the ratio of first to the last of n A.m.’s between 5 and 35 is 1 : 4. The value of n is
Answer : Option D
Explaination / Solution:
the sequence is
here a=5 and b=35
we know that,
According to question,
Q2. If the two lines of regression are at right angles , then ρ(X,Y) is equal to
Answer : Option C
Explaination / Solution:
Q3. The area bounded by the curves is equal to
Answer : Option A
Explaination / Solution:
Q4. A relation R in a set A is called universal relation, if
Answer : Option B
Explaination / Solution:
The relation R = A x A is called Universal relation.
Q5. The roots of the equation det. 
Answer : Option D
Explaination / Solution:
Expanding along C1
Q6. The triangle formed by the lines x + y = 1, 2x + 3y – 6 = 0 and 4x – y + 4 = 0 lies in
Answer : Option C
Explaination / Solution:
On solving line 1 and line 2 we get x = -3 andy =4. Hence the point of intersection is (-3,4)
On solving line 2 and line 3 we get x = (-3/7) and y = 16/7. Hence the point of intersection is (-3/7, 16/7)
On solving line 3 and line 1 we get x = -3/5 and y - 8/5.Hence the point of intersection is (-3/5,8/5)
All the above points lie in the second quadrant. Hence the triangle formed by these lines also lie in the second quadrant.
Q7. The negation of the proposition “if a quadrilateral is a square, then it is a rhombus “ is
Answer : Option C
Explaination / Solution:
rules of negation ∼(p→q)≡p∧∼q
Q8. is equal to
Answer : Option A
Explaination / Solution:
+ C+ C
Q9. Find the scalar and vector components of the vector with initial point (2, 1) and terminal point (– 5, 7).
Answer : Option C
Explaination / Solution:
The scalar and vector components of the vector with initial point (2, 1) and terminal point (– 5, 7) is given by : (- 5 – 2 ) i.e. – 7 and (7 – 1 ) i.e. 6. Therefore, the scalar components are – 7 and 6 .,and vector components are - 
Q10. if then tan θ is equal to
Answer : Option C
Explaination / Solution:
