99 Percentile Qs Bank for JEE MainMathematicsMatrices

Let M = a b c d e f 1 1 1 and N = M 2 2 . If a - b 2 + d - e 2 = 36 , b - c 2 + e - f 2 = 64 , a - c 2 + d - f 2 = 100 , then value of N is equal to

Options

A1152
B48
C144
D288

Correct answer

D. 288

Step-by-step solution

M = 2 × Area of the triangle with vertices a , d , b , e   &   c , f with the length of sides as 6 , 8 , 10 respectively. ∵ Triangle is a right angle triangle, hence, Area = 1 2 × 6 × 8 = 24 M = 48 N = M 2 2 = 1 8 M 2 = 48 2 8 = 288

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