CBSE Syllabus Standard Mathematics for Class X>Chapter 4 - Quadratic Equations>Objective Questions>Q 26

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Which of the following equations has two distinct real roots?

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Important Questions on Quadratic Equations

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CBSE Syllabus Standard Mathematics for Class X>Chapter 4 - Quadratic Equations>Objective Questions>Q 27

Which of the following equations has no real roots?

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CBSE Syllabus Standard Mathematics for Class X>Chapter 4 - Quadratic Equations>Higher Order Thinking Skills (HOTS)>Q 1

Find the value(s) of $k$ for which the following simultaneous linear equations have a unique solution

$(k - 1) x - 3 y = 4, 3 x - (4 k + 1) y = 5$

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CBSE Syllabus Standard Mathematics for Class X>Chapter 4 - Quadratic Equations>Higher Order Thinking Skills (HOTS)>Q 2

If

k

is a natural number and the roots of the equation

x^{2} + 11 x + 6 k = 0

are rational numbers, then find the smallest value of

k

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CBSE Syllabus Standard Mathematics for Class X>Chapter 4 - Quadratic Equations>Higher Order Thinking Skills (HOTS)>Q 3

Find the values of

k

for which the equation

x^{2} + 5 k x + 16 = 0

has no real roots.

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10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 4 - Quadratic Equations>Higher Order Thinking Skills (HOTS)>Q 4

Find the value of

k

for which the equation

5 x^{2} - k x + 1 = 0

has real roots

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10th CBSE

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CBSE Syllabus Standard Mathematics for Class X>Chapter 4 - Quadratic Equations>Higher Order Thinking Skills (HOTS)>Q 5

If the equation

x^{2} + 2 c x + a b = 0

has two distinct real roots, then prove that the equation

x^{2} - 2 (a + b) x + a^{2} + b^{2} + 2 c^{2} = 0

has no real roots.

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10th CBSE

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CBSE Syllabus Standard Mathematics for Class X>Chapter 4 - Quadratic Equations>Chapter Test>Q 1

Solve the quadratic equation by factorisation:

\frac{2}{3} x^{2} - \frac{1}{3} x - 1 = 0

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10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 4 - Quadratic Equations>Chapter Test>Q 1

Solve the quadratic equation by factorisation:

9 x^{2} - 3 (a^{2} + b^{2}) x + a^{2} b^{2} = 0