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प्रश्न
Choose the correct alternative answer for the following sub questions and write the correct alphabet.
What is the value of discriminant for the quadratic equation X2 – 2X – 3 = 0?
विकल्प
– 16
16
8
4
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उत्तर
16
संबंधित प्रश्न
Without solving, examine the nature of roots of the equation 2x2 – 7x + 3 = 0
Is it possible to design a rectangular park of perimeter 80 and area 400 m2? If so find its length and breadth.
Find the value of p, for which one root of the quadratic equation px2 – 14x + 8 = 0 is 6 times the other.
Show that the equation 2(a2 + b2)x2 + 2(a + b)x + 1 = 0 has no real roots, when a ≠ b.
Find the roots of the equation .`1/(2x-3)+1/(x+5)=1,x≠3/2,5`
Find the value of the discriminant in the following quadratic equation :
x2 +2x+4=0
Find the value of k for which the roots of the equation 3x2 -10x +k = 0 are reciprocal of each other.
Find the value of k for which the following equation has equal roots:
(k − 12)x2 + 2(k − 12)x + 2 = 0.
Find the values of k so that the sum of tire roots of the quadratic equation is equal to the product of the roots in each of the following:
kx2 + 2x + 3k = 0
Discuss the nature of the roots of the following quadratic equations : `3x^2 - 2x + (1)/(3)` = 0
Discuss the nature of the roots of the following quadratic equations : `x^2 - (1)/(2)x + 4` = 0
The equation 12x2 + 4kx + 3 = 0 has real and equal roots, if:
The roots of the equation (b – c) x2 + (c – a) x + (a – b) = 0 are equal, then:
A natural number, when increased by 12, equals 160 times its reciprocal. Find the number.
State whether the following quadratic equation have two distinct real roots. Justify your answer.
3x2 – 4x + 1 = 0
Every quadratic equation has at least one real root.
Find the roots of the quadratic equation by using the quadratic formula in the following:
5x2 + 13x + 8 = 0
If b = 0, c < 0, is it true that the roots of x2 + bx + c = 0 are numerically equal and opposite in sign? Justify.
The probability of selecting integers a ∈ [–5, 30] such that x2 + 2(a + 4)x – 5a + 64 > 0, for all x ∈ R, is ______.
If b and c are odd integers, then the equation x2 + bx + c = 0 has ______.
