Tangent and Normal of Parabola
« Previous Topic: Equation of Parabola with Given Focus and Directrix Last Topic in »
Join With Us for More Updates
Parabola

120286 From a point \((c, 0)\) three normal are drawn to the parabola \(y^2=x\). Then,

1 \(\mathrm{c}\lt \frac{1}{2}\)
2 \(\mathrm{c}=\frac{1}{2}\)
3 \(\mathrm{c}>\frac{1}{2}\)
4 \(\frac{1}{2}>\mathrm{c}>\frac{1}{4}\)
TS EAMCET-2016
Parabola

120287 The number of points on the parabola \(y^2=x\) at which the slope of the normal drawn at the point is equal to the \(x\)-coordinate of that point is

1 \(\infty\)
2 1
3 2
4 0
TS EAMCET-09.09.2020
Parabola

120288 If \(x-2 y+k=0\) is a tangent to the parabola \(y^2-4 x-4 y+8=0\), then the slope of the tangent drawn at \((l, \mathrm{k})\) on the given parabola is

1 \(\frac{-5}{2}\)
2 2
3 -2
4 \(\frac{2}{5}\)
TS EAMCET-09.09.2020
Parabola

120289 The angle between the tangents drawn from the point \((1,4)\) to the parabola \(y^2=4 x\) is

1 \(\frac{\pi}{3}\)
2 \(\frac{\pi}{2}\)
3 \(\frac{3 \pi}{4}\)
4 \(\frac{\pi}{4}\)
CG PET-2021]
For More Updates join with Us
Parabola

120286 From a point \((c, 0)\) three normal are drawn to the parabola \(y^2=x\). Then,

1 \(\mathrm{c}\lt \frac{1}{2}\)
2 \(\mathrm{c}=\frac{1}{2}\)
3 \(\mathrm{c}>\frac{1}{2}\)
4 \(\frac{1}{2}>\mathrm{c}>\frac{1}{4}\)
TS EAMCET-2016
Parabola

120287 The number of points on the parabola \(y^2=x\) at which the slope of the normal drawn at the point is equal to the \(x\)-coordinate of that point is

1 \(\infty\)
2 1
3 2
4 0
TS EAMCET-09.09.2020
Parabola

120288 If \(x-2 y+k=0\) is a tangent to the parabola \(y^2-4 x-4 y+8=0\), then the slope of the tangent drawn at \((l, \mathrm{k})\) on the given parabola is

1 \(\frac{-5}{2}\)
2 2
3 -2
4 \(\frac{2}{5}\)
TS EAMCET-09.09.2020
Parabola

120289 The angle between the tangents drawn from the point \((1,4)\) to the parabola \(y^2=4 x\) is

1 \(\frac{\pi}{3}\)
2 \(\frac{\pi}{2}\)
3 \(\frac{3 \pi}{4}\)
4 \(\frac{\pi}{4}\)
CG PET-2021]
NEET DIGITAL LIBRARY
Parabola

120286 From a point \((c, 0)\) three normal are drawn to the parabola \(y^2=x\). Then,

1 \(\mathrm{c}\lt \frac{1}{2}\)
2 \(\mathrm{c}=\frac{1}{2}\)
3 \(\mathrm{c}>\frac{1}{2}\)
4 \(\frac{1}{2}>\mathrm{c}>\frac{1}{4}\)
TS EAMCET-2016
Parabola

120287 The number of points on the parabola \(y^2=x\) at which the slope of the normal drawn at the point is equal to the \(x\)-coordinate of that point is

1 \(\infty\)
2 1
3 2
4 0
TS EAMCET-09.09.2020
Parabola

120288 If \(x-2 y+k=0\) is a tangent to the parabola \(y^2-4 x-4 y+8=0\), then the slope of the tangent drawn at \((l, \mathrm{k})\) on the given parabola is

1 \(\frac{-5}{2}\)
2 2
3 -2
4 \(\frac{2}{5}\)
TS EAMCET-09.09.2020
Parabola

120289 The angle between the tangents drawn from the point \((1,4)\) to the parabola \(y^2=4 x\) is

1 \(\frac{\pi}{3}\)
2 \(\frac{\pi}{2}\)
3 \(\frac{3 \pi}{4}\)
4 \(\frac{\pi}{4}\)
CG PET-2021]
Join With Us for More Updates
Parabola

120286 From a point \((c, 0)\) three normal are drawn to the parabola \(y^2=x\). Then,

1 \(\mathrm{c}\lt \frac{1}{2}\)
2 \(\mathrm{c}=\frac{1}{2}\)
3 \(\mathrm{c}>\frac{1}{2}\)
4 \(\frac{1}{2}>\mathrm{c}>\frac{1}{4}\)
TS EAMCET-2016
Parabola

120287 The number of points on the parabola \(y^2=x\) at which the slope of the normal drawn at the point is equal to the \(x\)-coordinate of that point is

1 \(\infty\)
2 1
3 2
4 0
TS EAMCET-09.09.2020
Parabola

120288 If \(x-2 y+k=0\) is a tangent to the parabola \(y^2-4 x-4 y+8=0\), then the slope of the tangent drawn at \((l, \mathrm{k})\) on the given parabola is

1 \(\frac{-5}{2}\)
2 2
3 -2
4 \(\frac{2}{5}\)
TS EAMCET-09.09.2020
Parabola

120289 The angle between the tangents drawn from the point \((1,4)\) to the parabola \(y^2=4 x\) is

1 \(\frac{\pi}{3}\)
2 \(\frac{\pi}{2}\)
3 \(\frac{3 \pi}{4}\)
4 \(\frac{\pi}{4}\)
CG PET-2021]
For More Updates join with Us