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CBSE BOARD PYQS · CHAPTER 04
Quadratic Equations
CBSE Most Repeated PYQs
Solve official CBSE Previous Year Board Questions (2015-2024) for Quadratic Equations. Click on options to test yourself, or click "Show Solution & Answer" for complete step-by-step working.
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Roots of x² + 4x + 4 = 0 are:
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If 1/2 is a root of x² + kx - 5/4 = 0, value of k is:
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Roots of 2x² - x - 6 = 0 are:
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Assertion (A): Equation x² + 3x + 4 = 0 has no real roots. Reason (R): A quadratic equation has no real roots if D < 0.
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Assertion (A): Roots of x² - 5x + 6 = 0 are 2 and 3. Reason (R): Sum of roots = -b/a = 5, Product of roots = c/a = 6.
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Find roots of 3x² - 2√6 x + 2 = 0.
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Find k if 2x² + kx + 3 = 0 has equal roots.
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Find two numbers whose sum is 27 and product is 182.
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Solve x² - 3x - 10 = 0 using quadratic formula.
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Find discriminant of 3x² - 2x + 1/3 = 0 and state nature of roots.
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Altitude of right triangle is 7cm less than base. Hypotenuse is 13cm. Find sides.
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Solve for x: 1/(x+4) - 1/(x-7) = 11/30 (x ≠ -4, 7).
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Two taps fill tank in 9 3/8 hrs. Larger tap takes 10 hrs less than smaller. Find individual times.
3 Marks
Find k for which (k+4)x² + (k+1)x + 1 = 0 has equal roots.
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Case Study Scenario: A rectangular park of length l and breadth b has area 300 m² and perimeter 70 m. Question: Find length and breadth of rectangular park.
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Case Study Scenario: Speed of motor boat in still water is 15 km/h. It goes 30 km downstream and returns in 4 hrs 30 mins. Question: Find speed of stream.
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Express train takes 1 hr less than passenger train for 132 km. Express speed is 11 km/h more. Find speeds.
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Solve for x: 4x² - 4ax + (a² - b²) = 0.
5 Marks