Mathematics - Online Test

Q1. Three of the 6 vertices of a regular hexagon are chosen at random .The probability that the triangle with these vertices is equilateral is
Answer : Option A
Explaination / Solution:
No Explaination.


Q2. The equation  represents
Answer : Option B
Explaination / Solution:

The equation   which represent generally XY plane i.e the plane y=0

Q3. If A and B are symmetric matrices of order n ( A≠ B), then
Answer : Option C
Explaination / Solution:

Sum of two symmetric matrices is also symmetric.

Q4. The value of the integral  is equal to
Answer : Option D
Explaination / Solution:



Q5. A convex polygon of n sides has n diagonals. Then value of n is
Answer : Option C
Explaination / Solution:

We have an n sided polygon has n vertices.

If you join every distinct pair of vertices you will get  lines.

These  lines account for the n sides of the polygon as well as for the diagonals.

So the number of diagonals is given by 

But given number of  sides = number of diagonals =n


 


Q6. Find the angle between the planes whose vector equations are 
Answer : Option A
Explaination / Solution:



Q7.

Forming a differential equation representing the given family of curves by eliminating arbitrary constants a and b from  yields the differential equation


Answer : Option C
Explaination / Solution:



Q8. The equation 
Answer : Option D
Explaination / Solution:



Q9.

The sum of coefficients  of 1st, 2nd, and 3rd in the expansion of  is  46, find n


Answer : Option A
Explaination / Solution:



Q10. Which of the following is a set?
Answer : Option A
Explaination / Solution:

The set is{a,e,i,o,u}