Tangent and Normal of Parabola
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Parabola

120992 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

120993 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

120994 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
Parabola

120995 The equation of one of the common tangents to the parabola \(y^2=8 x\) and \(x^2+y^2-12 x+4=0\) is

1 \(y=-x+2\)
2 \(y=x-2\)
3 \(y=x+2\)
4 None of these
BITSAT-2017
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Parabola

120992 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

120993 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

120994 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
Parabola

120995 The equation of one of the common tangents to the parabola \(y^2=8 x\) and \(x^2+y^2-12 x+4=0\) is

1 \(y=-x+2\)
2 \(y=x-2\)
3 \(y=x+2\)
4 None of these
BITSAT-2017
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Parabola

120992 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

120993 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

120994 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
Parabola

120995 The equation of one of the common tangents to the parabola \(y^2=8 x\) and \(x^2+y^2-12 x+4=0\) is

1 \(y=-x+2\)
2 \(y=x-2\)
3 \(y=x+2\)
4 None of these
BITSAT-2017
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Parabola

120992 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

120993 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

120994 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
Parabola

120995 The equation of one of the common tangents to the parabola \(y^2=8 x\) and \(x^2+y^2-12 x+4=0\) is

1 \(y=-x+2\)
2 \(y=x-2\)
3 \(y=x+2\)
4 None of these
BITSAT-2017
For More Updates join with Us