Home
Class 12
MATHS
A normal to the parabola y^(2)=5x makes ...

A normal to the parabola `y^(2)=5x` makes an angle `45^(@)` with the x-axis. Find the equation of the normal and the cooridnates of its foot.

Text Solution

Verified by Experts

The correct Answer is:
`[ :. t=-1]`
Promotional Banner

Topper's Solved these Questions

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise MULTIPLE CHOICE TYPE QUESTIONS|16 Videos

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise VERY SHORT ANSWER TYPE QUESTIONS|35 Videos

  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|19 Videos

  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

A normal to the parabola y^2 = 5x makes an angle 45^@ with line x-axis. Find the equation of the normal and the coordinates of its foot.

If the normal chord of the parabola y^(2)=4x makes an angle 45^(@) with the axis of the parabola, then its length, is

The equation of the normal to the parabola y^(2)=5x . Which makes an angle of 45^(@) with the x-axis is -

A normal to the paraboal y^(2)=5x make and angle 45^(@) with the x-axis. If the coordinates of its foot is ((5)/(k),(-5)/(2)) , then find k.

Find the equation of the normal to the curve y=|x^2-|x||a t x=-2.

If a normal to a parabola y^2 =4ax makes an angle phi with its axis, then it will cut the curve again at an angle

At what point on the parabola y^2=4x the normal makes equal angle with the axes?

A tangent to the parabola y^2=8x makes an angle of 45^0 with the straight line y=3x+5. Then find one of the points of contact.

Find the equation of that normal to the parabola x^(2)=4ay which maeks an angle 60^(@) with x-axis.

If the normal at any point to the curve x^(2//3)+y^(2//3)=a^(2//3) makes an angle phi with the x-axis then prove that the equation of the normal is y cos phi- x sin phi = a cos 2phi .