Tangent and Normal of Parabola
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NEET DIGITAL LIBRARY
Parabola

120271 The area (in sq units) of the smaller of the two circles that touch the parabola, \(y^2=4 x\) at the point \((1,2)\) and the \(\mathrm{X}\)-axis is

1 \(8 \pi(3-2 \sqrt{2})\)
2 \(4 \pi(3+\sqrt{2})\)
3 \(8 \pi(2-\sqrt{2})\)
4 \(4 \pi(2-\sqrt{2})\)
JEE Main 09.04.2019
Parabola

120272 If one end of a focal chord \(A B\) of the parabola \(y^2=8 x\) is at \(A\left(\frac{1}{2},-2\right)\), then the equation of the tangent to it at \(B\) is

1 \(x-2 y+8=0\)
2 \(x+2 y+8=0\)
3 \(2 x+y-24=0\)
4 \(2 x-y-24=0\)
JEE Main 09.01.2020
Parabola

120273 Let \(L_1\) be a tangent to the parabola \(y^2=4(x+\) 1) and \(L_2\) be a tangent to the parabola \(y^2=8\) \((x+2)\) such that \(L_1\) and \(L_2\) intersect at right angles. Then, \(L_1\) and \(L_2\) meet on the straight line

1 \(x+3=0\)
2 \(2 x+1=0\)
3 \(x+2=0\)
4 \(x+2 y=0\)
JEE Main 06.09.2020
Parabola

120274 If \(y=m x+4\) is a tangent to both the parabolas, \(y^2=4 x\) and \(x^2=2 b y\), then \(b\) is equal to

1 -32
2 -128
3 -64
4 128
JEE Main 07.01.2020
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Parabola

120271 The area (in sq units) of the smaller of the two circles that touch the parabola, \(y^2=4 x\) at the point \((1,2)\) and the \(\mathrm{X}\)-axis is

1 \(8 \pi(3-2 \sqrt{2})\)
2 \(4 \pi(3+\sqrt{2})\)
3 \(8 \pi(2-\sqrt{2})\)
4 \(4 \pi(2-\sqrt{2})\)
JEE Main 09.04.2019
Parabola

120272 If one end of a focal chord \(A B\) of the parabola \(y^2=8 x\) is at \(A\left(\frac{1}{2},-2\right)\), then the equation of the tangent to it at \(B\) is

1 \(x-2 y+8=0\)
2 \(x+2 y+8=0\)
3 \(2 x+y-24=0\)
4 \(2 x-y-24=0\)
JEE Main 09.01.2020
Parabola

120273 Let \(L_1\) be a tangent to the parabola \(y^2=4(x+\) 1) and \(L_2\) be a tangent to the parabola \(y^2=8\) \((x+2)\) such that \(L_1\) and \(L_2\) intersect at right angles. Then, \(L_1\) and \(L_2\) meet on the straight line

1 \(x+3=0\)
2 \(2 x+1=0\)
3 \(x+2=0\)
4 \(x+2 y=0\)
JEE Main 06.09.2020
Parabola

120274 If \(y=m x+4\) is a tangent to both the parabolas, \(y^2=4 x\) and \(x^2=2 b y\), then \(b\) is equal to

1 -32
2 -128
3 -64
4 128
JEE Main 07.01.2020
For More Updates join with Us
Parabola

120271 The area (in sq units) of the smaller of the two circles that touch the parabola, \(y^2=4 x\) at the point \((1,2)\) and the \(\mathrm{X}\)-axis is

1 \(8 \pi(3-2 \sqrt{2})\)
2 \(4 \pi(3+\sqrt{2})\)
3 \(8 \pi(2-\sqrt{2})\)
4 \(4 \pi(2-\sqrt{2})\)
JEE Main 09.04.2019
Parabola

120272 If one end of a focal chord \(A B\) of the parabola \(y^2=8 x\) is at \(A\left(\frac{1}{2},-2\right)\), then the equation of the tangent to it at \(B\) is

1 \(x-2 y+8=0\)
2 \(x+2 y+8=0\)
3 \(2 x+y-24=0\)
4 \(2 x-y-24=0\)
JEE Main 09.01.2020
Parabola

120273 Let \(L_1\) be a tangent to the parabola \(y^2=4(x+\) 1) and \(L_2\) be a tangent to the parabola \(y^2=8\) \((x+2)\) such that \(L_1\) and \(L_2\) intersect at right angles. Then, \(L_1\) and \(L_2\) meet on the straight line

1 \(x+3=0\)
2 \(2 x+1=0\)
3 \(x+2=0\)
4 \(x+2 y=0\)
JEE Main 06.09.2020
Parabola

120274 If \(y=m x+4\) is a tangent to both the parabolas, \(y^2=4 x\) and \(x^2=2 b y\), then \(b\) is equal to

1 -32
2 -128
3 -64
4 128
JEE Main 07.01.2020
NEET DIGITAL LIBRARY
Parabola

120271 The area (in sq units) of the smaller of the two circles that touch the parabola, \(y^2=4 x\) at the point \((1,2)\) and the \(\mathrm{X}\)-axis is

1 \(8 \pi(3-2 \sqrt{2})\)
2 \(4 \pi(3+\sqrt{2})\)
3 \(8 \pi(2-\sqrt{2})\)
4 \(4 \pi(2-\sqrt{2})\)
JEE Main 09.04.2019
Parabola

120272 If one end of a focal chord \(A B\) of the parabola \(y^2=8 x\) is at \(A\left(\frac{1}{2},-2\right)\), then the equation of the tangent to it at \(B\) is

1 \(x-2 y+8=0\)
2 \(x+2 y+8=0\)
3 \(2 x+y-24=0\)
4 \(2 x-y-24=0\)
JEE Main 09.01.2020
Parabola

120273 Let \(L_1\) be a tangent to the parabola \(y^2=4(x+\) 1) and \(L_2\) be a tangent to the parabola \(y^2=8\) \((x+2)\) such that \(L_1\) and \(L_2\) intersect at right angles. Then, \(L_1\) and \(L_2\) meet on the straight line

1 \(x+3=0\)
2 \(2 x+1=0\)
3 \(x+2=0\)
4 \(x+2 y=0\)
JEE Main 06.09.2020
Parabola

120274 If \(y=m x+4\) is a tangent to both the parabolas, \(y^2=4 x\) and \(x^2=2 b y\), then \(b\) is equal to

1 -32
2 -128
3 -64
4 128
JEE Main 07.01.2020
Join With Us for More Updates