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.

A

`((5)/(4), -(5)/(2))`

B

`((5)/(2), -(5)/(4))`

C

`((5)/(4), (5)/(2))`

D

`((5)/(2), (5)/(4))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 6|30 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 7|30 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 4|30 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 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 .

CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 5
  1. The normal to the curve x= a(1 + cos theta ) , y= a sin theta at the ...

    Text Solution

    |

  2. If the area bounded by the parabola y= ax^(2) and x= ay^(2) , a gt 0...

    Text Solution

    |

  3. The locus of the middle point of the intercept of the tangent drawn fr...

    Text Solution

    |

  4. Which one of the following definite integrals represents the area inc...

    Text Solution

    |

  5. A normal to the parabola y^(2)=5x makes an angle 45^(@) with the x-ax...

    Text Solution

    |

  6. If the tangents to the graph of the function y= f(x) make angle (pi)/(...

    Text Solution

    |

  7. The maximum value of xy when x+2y=8 is

    Text Solution

    |

  8. The function f(x)= tan^(-1) (sin x + cos x ), x gt 0 is always an inc...

    Text Solution

    |

  9. The points of extrema of the function f(x)= int(0)^(x)(sin t)/(t)dt i...

    Text Solution

    |

  10. The minimum value of the function f(x)= sin x + cos x is-

    Text Solution

    |

  11. The perimeter of a sector is p , then the area of the sector is maxim...

    Text Solution

    |

  12. The value of a ( a ge 3) for which the sum of the cubes of the roots ...

    Text Solution

    |

  13. If f(x)= x^(3) + (1)/(x^(3) )(x ne 0), then its greatest value is-

    Text Solution

    |

  14. The nearest point on the line 3x- 4y = 25 from the origin is

    Text Solution

    |

  15. If the slope of the tangent at (x, y) to a curve passing through the p...

    Text Solution

    |

  16. An open box, with a square base, is to be made out of a given quantity...

    Text Solution

    |

  17. If the radius of a sphere is measured as 5 m with an error of 0.02 m, ...

    Text Solution

    |

  18. If the volume of a sphere increases at a constant rate, then the rate ...

    Text Solution

    |

  19. Let A(0, 75), B(90, 0) , C(60, 40) and D(45, 25) be the corner points ...

    Text Solution

    |

  20. If f(x)= 2x^(2) + 10 x - 7 , then the approximate value of f(2.05) i...

    Text Solution

    |