Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9
Banner 10

Q.

If the two equations x2−Kx−21=0 and x2−3Kx+35=0  have a common root, and K > 0 then the value of K is

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya

a

3

b

2

c

4

d

− 1

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

Two equations a1x2+b1x+c1=0,a2x2+b2x+c2=0, where a1b2−a2b1≠0 have common root, if  (c1a2−c2a1)2=(a1b2−a2b1)(b1c2−b2c1) ⇒(−21−35)2=(−3K+K)(−35K−63K)   ⇒K2=16  ⇒K= 4
Watch 3-min video & get full concept clarity

courses

No courses found

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon