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## Parabola

### Mathematics

#### Previous Years Questions

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If P1P2 and P3P4 are two focal chords of the parabola y2 = 4ax then the chords P1P3 and P2P4 intersect on the...
WB JEE 2022
Let the tangent and normal at any point P(at2, 2at), (a > 0), on the parabola y2 = 4ax meet the axis of the parabola at ...
WB JEE 2022
From the point ($$-$$1, $$-$$6), two tangents are drawn to y2 = 4x. Then the angle between the two tangents is...
WB JEE 2022
AB is a chord of a parabola y2 = 4ax, (a > 0) with vertex A. BC is drawn perpendicular to AB meeting the axis at C. The ...
WB JEE 2022
Let P be a point on (2, 0) and Q be a variable point on (y $$-$$ 6)2 = 2(x $$-$$ 4). Then the locus of mid-point of PQ i...
WB JEE 2022
A line passes through the point $$( - 1,1)$$ and makes an angle $${\sin ^{ - 1}}\left( {{3 \over 5}} \right)$$ in the po...
WB JEE 2022
The point of contact of the tangent to the parabola y2 = 9x which passes through the point (4, 10) and makes an angle $$... WB JEE 2022 From a point (d, 0) three normal are drawn to the parabola y2 = x, then WB JEE 2021 The locus of the vertices of the family of parabolas$$6y = 2{a^3}{x^2} + 3{a^2}x - 12a$$is WB JEE 2021 If the line y = x is a tangent to the parabola y = ax2 + bx + c at the point (1, 1) and the curve passes through ($$ - \$...
WB JEE 2020
The equation of the latusrectum of a parabola is x + y = 8 and the equation of the tangent at the vertex is x + y = 12. ...
WB JEE 2020
WB JEE 2017

## Subjective

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Find the angle subtended by the double ordinate of length 2a of the parabola y2 = ax at its vertex.
WB JEE 2009
Prove that for all values of m, except zero the st. line $$y = mx + {a \over m}$$ touches the parabola y2 = 4ax...
WB JEE 2008
If the tangent to the parabola y = x(2 $$-$$ x) at the point (1, 1) intersects the parabola at P. Find the co-ordinate o...
WB JEE 2008

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