TS POLYCET 2025 Mathematics Most Important Topics and Questions

1

The joint equation of bisectors of angles between lines x = 5 and y = 3 is ___________

2

If A and B are foot of perpendicular drawn from point Q (a, b, c) to the planes yz and zx, then equation of plane through the points A, B and O is ___________

3

The joint equation of lines passing through the origin and trisecting the first quadrant is ________.

4

The approximate value of  f(x) = x3 + 5x2 – 7x + 9 at  x = 1.1 is

5

Probability of guessing correctly atleast 7 out of 10 answers in a “True” or “False” test is  = ______

6

If p: Every square is a rectangle

q: Every rhombus is a kite then truth values of p → q and p ↔ q are __________ and

___________ respectively.

7

Principal solutions of the equation sin 2x + cos 2x = 0, where π < x < 2π are

8

Which of the following equation does not represent a pair of lines ?

A) x2 – x = 0

B) xy – x = 0

C) y2 – x + 1 = 0

D) xy + x + y + 1 = 0

9

If A and B are foot of perpendicular drawn from point Q (a, b, c) to the planes yz and zx, then equation of plane through the points A, B and O is ___________

10

Which of the following quantified statement is true ?

A) The square of every real number is positive

B) There exists a real number whose square is negative

C) There exists a real number whose square is not positive

D) Every real number is rational