HSC Science (Electronics) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Find the combined equation of the following pair of lines passing through point (2, 3) and parallel to the coordinate axes.

Write the truth values of the following.

4 is odd or 1 is prime.

Write the truth values of the following.

64 is a perfect square and 46 is a prime number.

Write the truth values of the following.

5 is a prime number and 7 divides 94.

Find the combined equation of the following pair of lines:

Passing through (2, 3) and perpendicular to the lines 3x + 2y – 1 = 0 and x – 3y + 2 = 0.

Write the truth values of the following.

It is not true that 5−3i is a real number.

Write the truth value of the following.

If 3 × 5 = 8 then 3 + 5 = 15.

Write the truth value of the following.

Milk is white if and only if sky is blue.

Find the combined equation of the following pair of line passing through (−1, 2), one is parallel to x + 3y − 1 = 0 and other is perpendicular to 2x − 3y − 1 = 0

Write the truth values of the following.

24 is a composite number or 17 is a prime number.

If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:

p ∨ (q ∧ r)

Find the separate equation of the line represented by the following equation:

3y² + 7xy = 0 

Find the separate equation of the line represented by the following equation:

5x² – 9y² = 0

If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:

(p → q) ∨ (r → s)

Find the separate equation of the line represented by the following equation:

x² - 4xy = 0 

If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:

(q ∧ r) ∨ (∼ p ∧ s)

If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:

(p → q) ∧ ∼ r

If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:

(∼ r ↔ p) → ∼ q

If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:

[∼ p ∧ (∼ q ∧ r)] ∨ [(q ∧ r) ∨ (p ∧ r)]

Find the separate equation of the line represented by the following equation:

`3"x"^2 - 2sqrt3"xy" - 3"y"^2 = 0`