Maths Class 10
Solutions of Sample Papers for Class 10 Boards

Question 1 (Choice 2) - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [Term 2] - Solutions of Sample Papers for Class 10 Boards

Last updated at August 12, 2026 by

Find the values of k for which the quadratic equation 3x 2 =ย  kx + 3 = 0 has real and equal roots.

This question is similar to Ex 4.4, 2 (i) Chapter 4 Class 10 - Quadratic Equations

[Term 2] Find values of k for which quadratic equation 3๐‘ฅ2 + ๐‘˜๐‘ฅ + 3 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [Term 2]

part 2 - Question 1 (Choice 2) - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [Term 2] - Solutions of Sample Papers for Class 10 Boards - Class 10

Remove Ads
Teachoo ยท Class 10 Explore Class 10

Transcript

Question 1 โ€“ Choice 2 Find the values of k for which the quadratic equation 3๐‘ฅ2 + ๐‘˜๐‘ฅ + 3 = 0 has real and equal roots. Given 3๐‘ฅ2 + ๐‘˜๐‘ฅ + 3 = 0 Comparing equation with ax2 + bx + c = 0 Here, a = 3, b = ๐‘˜, c = 3 Since the equation has 2 equal roots, D = 0 b2 โ€“ 4ac = 0 Putting values ๐‘˜^2โˆ’4 ร— 3 ร— 3=0 ๐‘˜^2โˆ’36=0 ๐‘˜^2=36 ๐‘˜ = ยฑโˆš36 ๐’Œ = ยฑ๐Ÿ” Hence, ๐’Œ = ๐Ÿ” or ๐’Œ = โˆ’๐Ÿ”

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.