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JEE MATHEMATICS MCQ: PARABOLA

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Application +4 | -1
If the tangent to the parabola y2=ax{y^2} = ax makes an angle of 450{45^0} with x−axisx - axis, then the point of contact is
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Correct option: D
(a4,a2)\left( {\frac{a}{4},\frac{a}{2}} \right)
Option D (a4,a2)\left( {\frac{a}{4},\frac{a}{2}} \right) is correct because it is the point of contact where the tangent to the parabola makes a 45-degree angle with the x-axis.

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