The zeroes of the polynomial x² ─ 3x ─m(m+3) are

The quadratic polynomial, the sum whose zeroes is ─ 5 and their product is 6, is

The zeroes of the quadratic polynomial x² + kx + k, where

k ≠ 0,

Assertion(A): 2 x² + 14x + 20 have two zeroes.

Reason(R): A quadratic polynomial can have at most two zeroes.

The value of k for which the system of equations x + y _ 4 = 0 and 2x + ky = 3, has no solution, is:

The pair of equations x = 0 and x = ─ 4 has

The value of k, for which the pair of linear equations kx + y = k² and x + ky = 1 have infinitely many solutions is:

If ax + by = a² ─ b² and bx + ay = 0, then the value of (x + y) is:

Assertion(A): Equations 3x + 4y + 5 = 0 and 6x + 8y + 9 = 0 represents a pair of parallel lines.

Reason(R): Two lines a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 represent parallel lines if a₁/a₂ = b₁/b₂ = c₁/c₂

If A (^m/₃, 5) is the mid-point of the line segment joining the points Q( ─ 6, 7) and R( ─ 2, 3), the value of m is:

If the point P(k, 0) divides the line segment joining the points A(2, ─ 2) and B(─ 7, 4) in the ratio 1: 2, then the value of k is:

It is being given that the points A(1, 2), B(0, 0), and C(a, b) are collinear. Which of the following relations between a and b is true?

The value of p, for which the points A(3, 1), B(5, p), and C(7, ─ 5) are collinear, is

A card is selected from a deck of 52 cards. The probability of it's being a red face card is:

Someone is asked to take a number from 1 to 100. The probability that it is a prime is:

Assertion: From a pack of 52 cards, the probability of drawing a red card queen is 1/20.

Reason: Probability of occurring of an event p(A) = Favourable outcomes

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