JEE Main 2021 (Online) 24th February Evening Shift | Parabola Question 71 | Mathematics

The locus of the mid-point of the line segment joining the focus of the parabola y² = 4ax to a moving point of the parabola, is another parabola whose directrix is :

x = 0

x = - $${a \over 2}$$

x = a

x = $${a \over 2}$$

JEE Main 2020 (Online) 6th September Evening Slot

MCQ (Single Correct Answer)

-1

Out of Syllabus

The centre of the circle passing through the point (0, 1) and touching the parabola
y = x² at the point (2, 4) is :

$$\left( {{6 \over 5},{{53} \over {10}}} \right)$$

$$\left( {{3 \over {10}},{{16} \over 5}} \right)$$

$$\left( {{{ - 53} \over {10}},{{16} \over 5}} \right)$$

$$\left( {{{ - 16} \over 5},{{53} \over {10}}} \right)$$

JEE Main 2020 (Online) 6th September Morning Slot

MCQ (Single Correct Answer)

-1

Out of Syllabus

Let L₁ be a tangent to the parabola y² = 4(x + 1)
and L₂ be a tangent to the parabola y² = 8(x + 2)
such that L₁ and L₂ intersect at right angles. Then L₁ and L₂ meet on the straight line :

x + 3 = 0

x + 2y = 0

x + 2 = 0

2x + 1 = 0

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