Find the values of k for which the quadratic equation 3x ^{ 2 } = kx + 3 = 0 has real and equal roots.
This question is similar to Ex 4.4, 2 (i) Chapter 4 Class 10 - Quadratic Equations
CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [Term 2]
Question 1 (Choice 2) You are here
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Question 6 (Choice 1) Important
Question 6 (Choice 2)
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Question 8 (Choice 1)
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Question 11 (Choice 1)
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CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [Term 2]
Last updated at April 16, 2024 by Teachoo
This question is similar to Ex 4.4, 2 (i) Chapter 4 Class 10 - Quadratic Equations
Question 1 – Choice 2 Find the values of k for which the quadratic equation 3𝑥2 + 𝑘𝑥 + 3 = 0 has real and equal roots. Given 3𝑥2 + 𝑘𝑥 + 3 = 0 Comparing equation with ax2 + bx + c = 0 Here, a = 3, b = 𝑘, c = 3 Since the equation has 2 equal roots, D = 0 b2 – 4ac = 0 Putting values 𝑘^2−4 × 3 × 3=0 𝑘^2−36=0 𝑘^2=36 𝑘 = ±√36 𝒌 = ±𝟔 Hence, 𝒌 = 𝟔 or 𝒌 = −𝟔