मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Choose the correct alternative answer for the following sub questions and write the correct alphabet. If the root of the given quadratic equation are real and equal, then find the value of ‘k - Algebra Mathematics 1

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प्रश्न

Choose the correct alternative answer for the following sub questions and write the correct alphabet.

If the root of the given quadratic equation are real and equal, then find the value of ‘k’ X2 + 2X + k = 0

पर्याय

  • 1

  • – 1

  • 2

  • – 2

MCQ
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उत्तर

1

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Quadratic Equations - Q.1 (A)

संबंधित प्रश्‍न

Find the nature of the roots of the following quadratic equation. If the real roots exist, find them:

2x2 - 3x + 5 = 0


Find the value of k for which the following equation has equal roots.

x2 + 4kx + (k2 – k + 2) = 0


Find the values of k for which the roots are real and equal in each of the following equation:

`kx^2-2sqrt5x+4=0`


If p, q are real and p ≠ q, then show that the roots of the equation (p − q) x2 + 5(p + q) x− 2(p − q) = 0 are real and unequal.


Determine the nature of the roots of the following quadratic equation :

(x - 1)(2x - 7) = 0


Solve the following quadratic equation using formula method only

4 - 11 x = 3x2


Write the discriminant of the quadratic equation (x + 5)2 = 2 (5x − 3).


Without actually determining the roots comment upon the nature of the roots of each of the following equations:
9a2b2x2 - 48abc + 64c2d2 = 0, a ≠ 0, b ≠ 0


Solve for x: (x2 - 5x)2 - 7(x2 - 5x) + 6 = 0; x ∈ R.


Find the discriminant of the following equations and hence find the nature of roots: 3x2 – 5x – 2 = 0


Choose the correct answer from the given four options :

If the equation {k + 1)x² – 2(k – 1)x + 1 = 0 has equal roots, then the values of k are


Choose the correct answer from the given four options :

Which of the following equations has two distinct real roots?


If the roots of the given quadratic equation are real and equal, then find the value of ‘m’.

(m – 12)x2 + 2(m – 12)x + 2 = 0


If one root of the equation x2+ px + 12 = 0 is 4, while the equation x2 + px + q = 0 has equal roots, the value of q is:


If the one root of the equation 4x2 – 2x + p – 4 = 0 be the reciprocal of the other. The value of p is:


Which of the following equations has two distinct real roots?


A quadratic equation with integral coefficient has integral roots. Justify your answer.


Compare the quadratic equation `x^2 + 9sqrt(3)x + 24 = 0` to ax2 + bx + c = 0 and find the value of discriminant and hence write the nature of the roots.


If α, β are roots of the equation x2 + px – q = 0 and γ, δ are roots of x2 + px + r = 0, then the value of (α – y)(α – δ) is ______.


Find the value of ‘c’ for which the quadratic equation 

(c + 1) x2 - 6(c + 1) x + 3(c + 9) = 0; c ≠ - 1

has real and equal roots.


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