Home
Class 12
MATHS
A normal to the paraboal y^(2)=5x make a...

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.

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise COMPERHENSION TYPE|6 Videos
  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos
  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise A MULTIPLE CORRECT ANSWER TYPE|5 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 the x-axis. Find the equation of the normal and the cooridnates 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

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.

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

The point on the curve y^(2)=x , the tangent at which makes an angle 45^(@) with the x- axis is-

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

Find the euation of the normal to the parabola y^(2)=3x which is perpendicular to the line y=2x+4. also find the coordinates of the foot of the normal.

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 the tangent to the parabola y^(2)=8x which is inclined at an angl 45^(@) with the x-axis.

Find the equation of the tangent to the parabola y^(2)=8x which is inclined at an angl 45^(@) with the x-axis.