Answer available
Class 10 · Mathematics · Quadratic Equations
Solve x2 − 2x − 8 = 0 and verify the roots by substitution.
3 marksMediumNumerical
ICSE question bank
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27 questions
- Answer available
Class 10 · Mathematics · Quadratic Equations
Solve 4x2 + 4√3x + 3 = 0.
3 marksHardNumerical
- Answer available
Class 10 · Mathematics · Quadratic Equations
Assertion: the equation x2 + 4 = 0 has no real roots. Reason: the discriminant of x2 + 4 = 0 is −16. State whether the assertion and the reason are true and whether the reason explains the assertion.
2 marksMediumAssertion–reason
- Answer available
Class 10 · Mathematics · Quadratic Equations
The sum of a number and its reciprocal is 26/5. Find the number.
4 marksHardApplication based
- Answer available
Class 10 · Mathematics · Quadratic Equations
If the roots of a quadratic equation are real and equal, then the discriminant is:
1 markMediumMCQ
- Answer available
Class 10 · Mathematics · Quadratic Equations
Solve for x: 3x2 − 5x − 2 = 0.
3 marksEasyNumerical
- Answer available
Class 10 · Mathematics · Quadratic Equations
The sum of the roots of x2 − 7x + 12 = 0 is:
1 markMediumMCQ
- Answer available
Class 10 · Mathematics · Quadratic Equations
State the condition on the discriminant for a quadratic equation to have two distinct real roots.
2 marksEasyShort answer
- Answer available
Class 10 · Mathematics · Quadratic Equations
Solve for x: 2x2 − 7x + 3 = 0.
3 marksEasyNumerical
- Answer available
Class 10 · Mathematics · Quadratic Equations
Solve x2 − (√3 + 1)x + √3 = 0.
3 marksHardNumerical
- Answer available
Class 10 · Mathematics · Quadratic Equations
Find the value of k for which the equation kx2 − 6x + 9 = 0 has equal roots.
3 marksMediumNumerical
- Answer available
Class 10 · Mathematics · Quadratic Equations
The sum of the ages of a father and his son is 45 years and the product of their ages is 350. Find their present ages.
4 marksHardApplication based
- Answer available
Class 10 · Mathematics · Quadratic Equations
A train travels 360 km at a uniform speed. Had the speed been 5 km/h more, it would have taken one hour less for the journey. Find the speed of the train.
4 marksHardApplication based
- Answer available
Class 10 · Mathematics · Quadratic Equations
Find the nature of the roots of 4x2 − 12x + 9 = 0 and solve the equation.
3 marksMediumNumerical
- Answer available
Class 10 · Mathematics · Quadratic Equations
Find the values of k for which x2 + kx + 16 = 0 has equal roots.
3 marksMediumNumerical
- Answer available
Class 10 · Mathematics · Quadratic Equations
Using the quadratic formula, solve 2x2 + 5x − 3 = 0.
3 marksMediumNumerical
- Answer available
Class 10 · Mathematics · Quadratic Equations
The area of a rectangle is 96 cm2 and its length is 4 cm more than its breadth. Find its dimensions.
4 marksHardApplication based
- Answer available
Class 10 · Mathematics · Quadratic Equations
Show that the equation 3x2 − 2x + 1 = 0 has no real roots.
3 marksMediumNumerical
- Answer available
Class 10 · Mathematics · Quadratic Equations
Solve for x: x2 − 4x − 21 = 0.
3 marksEasyNumerical
- Answer available
Class 10 · Mathematics · Quadratic Equations
The discriminant of the equation 2x2 − 4x + 1 = 0 is:
1 markEasyMCQ