Tangent and Normal of Parabola
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Parabola

120215 The line \(4 x+6 y+9=0\) touches \(y^2=4 a x\) at the point

1 \((-3,9 / 4)\)
2 \((-3,-9 / 4)\)
3 \((9 / 4,-3)\)
4 \((-9 / 4,-3)\)
JEEE-2019
Parabola

120216 The slopes of the normal to the parabola \(y^2=\) 4ax intersecting at a point on the axis of the parabola at a distance 4 a from its vertex are in

1 A.P.
2 G.P.
3 H.P.
4 none of these
JEEE-2014
Parabola

120218 The equation of the tangent to the parabola \(y^2\) \(=4 \mathrm{x}\) inclined at an angle of \(\frac{\pi}{4}\) to the positive direction of \(x\)-axis is

1 \(x+y-4=0\)
2 \(x-y+4=0\)
3 \(x-y-1=0\)
4 \(x-y+1=0\)
Karnataka CET-2013
Parabola

120219 The locus of the point of intersection of the tangents drawn at the ends of a focal chord of the parabola \(x^2=-8 y\) is

1 \(x=-2\)
2 \(x=2\)
3 \(y=-2\)
4 \(y=2\)
Karnataka CET-2010
Parabola

120220 The locus of the point of intersection of two tangents to the parabola \(y^2=4 \mathrm{ax}\), which are at right angle to one another is

1 \(\mathrm{x}^2+\mathrm{y}^2=\mathrm{a}^2\)
2 \(a y^2=x\)
3 \(x+a=0\)
4 \(x+y \pm a=0\)
BITSAT-2016
NEET DIGITAL LIBRARY
Parabola

120215 The line \(4 x+6 y+9=0\) touches \(y^2=4 a x\) at the point

1 \((-3,9 / 4)\)
2 \((-3,-9 / 4)\)
3 \((9 / 4,-3)\)
4 \((-9 / 4,-3)\)
JEEE-2019
Parabola

120216 The slopes of the normal to the parabola \(y^2=\) 4ax intersecting at a point on the axis of the parabola at a distance 4 a from its vertex are in

1 A.P.
2 G.P.
3 H.P.
4 none of these
JEEE-2014
Parabola

120218 The equation of the tangent to the parabola \(y^2\) \(=4 \mathrm{x}\) inclined at an angle of \(\frac{\pi}{4}\) to the positive direction of \(x\)-axis is

1 \(x+y-4=0\)
2 \(x-y+4=0\)
3 \(x-y-1=0\)
4 \(x-y+1=0\)
Karnataka CET-2013
Parabola

120219 The locus of the point of intersection of the tangents drawn at the ends of a focal chord of the parabola \(x^2=-8 y\) is

1 \(x=-2\)
2 \(x=2\)
3 \(y=-2\)
4 \(y=2\)
Karnataka CET-2010
Parabola

120220 The locus of the point of intersection of two tangents to the parabola \(y^2=4 \mathrm{ax}\), which are at right angle to one another is

1 \(\mathrm{x}^2+\mathrm{y}^2=\mathrm{a}^2\)
2 \(a y^2=x\)
3 \(x+a=0\)
4 \(x+y \pm a=0\)
BITSAT-2016
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Parabola

120215 The line \(4 x+6 y+9=0\) touches \(y^2=4 a x\) at the point

1 \((-3,9 / 4)\)
2 \((-3,-9 / 4)\)
3 \((9 / 4,-3)\)
4 \((-9 / 4,-3)\)
JEEE-2019
Parabola

120216 The slopes of the normal to the parabola \(y^2=\) 4ax intersecting at a point on the axis of the parabola at a distance 4 a from its vertex are in

1 A.P.
2 G.P.
3 H.P.
4 none of these
JEEE-2014
Parabola

120218 The equation of the tangent to the parabola \(y^2\) \(=4 \mathrm{x}\) inclined at an angle of \(\frac{\pi}{4}\) to the positive direction of \(x\)-axis is

1 \(x+y-4=0\)
2 \(x-y+4=0\)
3 \(x-y-1=0\)
4 \(x-y+1=0\)
Karnataka CET-2013
Parabola

120219 The locus of the point of intersection of the tangents drawn at the ends of a focal chord of the parabola \(x^2=-8 y\) is

1 \(x=-2\)
2 \(x=2\)
3 \(y=-2\)
4 \(y=2\)
Karnataka CET-2010
Parabola

120220 The locus of the point of intersection of two tangents to the parabola \(y^2=4 \mathrm{ax}\), which are at right angle to one another is

1 \(\mathrm{x}^2+\mathrm{y}^2=\mathrm{a}^2\)
2 \(a y^2=x\)
3 \(x+a=0\)
4 \(x+y \pm a=0\)
BITSAT-2016
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Parabola

120215 The line \(4 x+6 y+9=0\) touches \(y^2=4 a x\) at the point

1 \((-3,9 / 4)\)
2 \((-3,-9 / 4)\)
3 \((9 / 4,-3)\)
4 \((-9 / 4,-3)\)
JEEE-2019
Parabola

120216 The slopes of the normal to the parabola \(y^2=\) 4ax intersecting at a point on the axis of the parabola at a distance 4 a from its vertex are in

1 A.P.
2 G.P.
3 H.P.
4 none of these
JEEE-2014
Parabola

120218 The equation of the tangent to the parabola \(y^2\) \(=4 \mathrm{x}\) inclined at an angle of \(\frac{\pi}{4}\) to the positive direction of \(x\)-axis is

1 \(x+y-4=0\)
2 \(x-y+4=0\)
3 \(x-y-1=0\)
4 \(x-y+1=0\)
Karnataka CET-2013
Parabola

120219 The locus of the point of intersection of the tangents drawn at the ends of a focal chord of the parabola \(x^2=-8 y\) is

1 \(x=-2\)
2 \(x=2\)
3 \(y=-2\)
4 \(y=2\)
Karnataka CET-2010
Parabola

120220 The locus of the point of intersection of two tangents to the parabola \(y^2=4 \mathrm{ax}\), which are at right angle to one another is

1 \(\mathrm{x}^2+\mathrm{y}^2=\mathrm{a}^2\)
2 \(a y^2=x\)
3 \(x+a=0\)
4 \(x+y \pm a=0\)
BITSAT-2016
NEET DIGITAL LIBRARY
Parabola

120215 The line \(4 x+6 y+9=0\) touches \(y^2=4 a x\) at the point

1 \((-3,9 / 4)\)
2 \((-3,-9 / 4)\)
3 \((9 / 4,-3)\)
4 \((-9 / 4,-3)\)
JEEE-2019
Parabola

120216 The slopes of the normal to the parabola \(y^2=\) 4ax intersecting at a point on the axis of the parabola at a distance 4 a from its vertex are in

1 A.P.
2 G.P.
3 H.P.
4 none of these
JEEE-2014
Parabola

120218 The equation of the tangent to the parabola \(y^2\) \(=4 \mathrm{x}\) inclined at an angle of \(\frac{\pi}{4}\) to the positive direction of \(x\)-axis is

1 \(x+y-4=0\)
2 \(x-y+4=0\)
3 \(x-y-1=0\)
4 \(x-y+1=0\)
Karnataka CET-2013
Parabola

120219 The locus of the point of intersection of the tangents drawn at the ends of a focal chord of the parabola \(x^2=-8 y\) is

1 \(x=-2\)
2 \(x=2\)
3 \(y=-2\)
4 \(y=2\)
Karnataka CET-2010
Parabola

120220 The locus of the point of intersection of two tangents to the parabola \(y^2=4 \mathrm{ax}\), which are at right angle to one another is

1 \(\mathrm{x}^2+\mathrm{y}^2=\mathrm{a}^2\)
2 \(a y^2=x\)
3 \(x+a=0\)
4 \(x+y \pm a=0\)
BITSAT-2016