HSC Science (General) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions

Let p : Sachin wins the match.
q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.
p→(q ∨ r)

Let p : Sachin wins the match.
q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.

p → q

Let p : Sachin wins the match.
q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.

(p ∧ q) ∧ ∼ r

Let p : Sachin wins the match.
q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.

∼ (p ∨ q) ∧ r

Write the negation of the following.

An angle is a right angle if and only if it is of measure 90°.

Evaluate the following.

`int 1/("a"^2 - "b"^2 "x"^2)` dx

Evaluate the following.

`int 1/(sqrt(3"x"^2 + 8))` dx

Objective function of LPP is ______.

The feasible region is the set of point which satisfy.

`int 1/sqrt((x - 3)(x + 2))` dx = ______.

The point of which the maximum value of z = x + y subject to constraints x + 2y ≤ 70, 2x + y ≤ 90, x ≥ 0, y ≥ 0 is obtained at

`int 1/(cos x - sin x)` dx = _______________

Which value of x is in the solution set of inequality − 2X + Y ≥ 17

`int x^2/sqrt(1 - x^6)` dx = ________________

`int e^x/x [x (log x)^2 + 2 log x]` dx = ______________

Negation of p → (p ˅ ∼ q) is ______

`int sqrt(x^2 + 2x + 5)` dx = ______________

A biconditional statement is the conjunction of two ______ statements.

If p → q is an implication, then the implication ∼ q → ∼ p is called its

The negation of the statement (p ˄ q) `→` (r ˅ ∼ p) is ______.