If area of the triangle formed by `(0, 0), (a^(x^2), 0), (0, a^(6x))` is `1/(2a^5)` sq. units then `x=`A. 1,5B. `-1,5`C. `1,-5`D. `-1,-5`

If area of the triangle formed by `(0, 0), (a^(x^2), 0), (0, a^(6x))`

1.	If area of the triangle formed by `(0, 0), (a^(x^2), 0), (0, a^(6x))` is `1/(2a^5)` sq. units then `x=`A. 1,5B. `-1,5`C. `1,-5`D. `-1,-5`
Answer» Correct Answer - D We have, Area of `DeltaOAB=(1)/(2a^(5))` sq. units `rArr(1)/(2)xxa^(x^(2))xxa^(6x)=(1)/(2)a^(-5)` `rArr a^(x^(2)+6x)=a^(-5)rArr x^(2)+6x+5=0rArr x=-1,-5`

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If area of the triangle formed by `(0, 0), (a^(x^2), 0), (0, a^(6x))` is `1/(2a^5)` sq. units then `x=`A. 1,5B. `-1,5`C. `1,-5`D. `-1,-5`

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