SSC CHSL 2019 PYQ — Question 58

The correct answer is option is 1 i.e. 109

24√3 x³+ 5√5 y³ = (2√3x + √5y) (Ax²+Cy²+Bxy)

⇒ 24√3 x³+ 5√5 y³ = 2√3 Ax³ + 2√3Bx²y + 2√3Cxy² + √5Ax²y + √5Bxy² + √5Cy³

Comparing the coefficient:

A = (24√3)/(2√3) = 12 and C = 5

2√3 B + √5 A = 0

⇒ B = -12√5/2√3 = - 2√15

Hence,

(A² – B² + C²)

= (12² – (- 2√15)² + 5²)

= (144 – 60 + 25)

= 169 – 60

= 109