Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If the system of following equations in x & y
2x+ 3y + 4 = 0 ; 3x + 5y + 6 = 0 ;
2x 2 + 6xy + 5y 2 + 8x + 12y + 1 = t
consists of a solution. Then find the numeric value of t 4 .
Text Solution
Verified by ExpertsThe correct answer is:
2401
Ans. 2401
Sol. 2x 2 + 6xy + 5y 2 + 8x + 12y + 1 = t
⇒ x(2x + 3y + 4)+y(3x + 5y + 6)+4x + 6y+1–t = 0
So we have equation as
2x + 3y + 4 = 0 … (1)
3x + 5y + 6 = 0 … (2)
and 4x + 6y + 1 – t = 0 …(3)
for existance of solution 
= 0
⇒ t = – 7
t 4 = 2401
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