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Question

Area of the triangle formed by the lines y29xy+18x2=0 and y=9 is



A

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B

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C

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D

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Solution

The correct option is A


The lines represented by y29xy+18x2=0 are 6x - y = 0 and 3x - y = 0 and third line is y = 9.

Therefore, coordinates of vertices of triangle are given by A(0,0); B(3,9) and c(32,9)

Hence, area of ABC=12 ∣ ∣ ∣0013913291∣ ∣ ∣=274sq.units.

Aliter: Applying the formula given in the theory part, the required area is 

(9)2(92)21818×1+9×0×1+1×0=811881418

       = 8118×32=274sq.units. 
 


Mathematics

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