Home
Class 11
MATHS
A parabolic mirror is kept along y^(2)=4...

A parabolic mirror is kept along `y^(2)=4x` and two light rays, parallel to its axis, are reflected along one straight line. If one of the incident light rays is at 3 units distance from the axis, then find the distance of the other incident ray from axis.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

A parabola mirror is kept along y^2=4x and two light rays parallel to its axis are reflected along one straight line. If one of the incident light rays is at 3 units distance from the axis, then find the distance of the other incident ray from the axis.

Find the locus of a point whose distance from (a, 0) is equal to its distance from the y-axis.

A point moves in such a manner that 3 times its distance from the x-axis is greater than 4 times its distance from the y-axis by 7 , find the equation of its locus .

A point moves in a plane such that its distance from the point (2,3) exceeds its distance from the y- axis by 2 . Find the equation to the locus of the point .

Find the points on the x-axis, whose distances from the line x/3 + y/4 = 1 are 4 units.

A ray light along x+sqrt3y = sqrt3 gets reflected upon reaching the x-axis, the equation of the reflected ray is

A ray of light falls normally on one side other than the hypotenuse of a right angled isosceles prism of refractive index 1.5. From which side will the ray emerge from the prism? Find the deviation of the incident ray.

Find the equations of the two straight line parallel to the line 3x+4y=15 and at a distance of 7.5 unit from the point (1,-2).

Find the equations to the circles which touch the axis of y at a distance +4 from the origin and intercept a length 6 unit on the axis of x.

Find the equation of the circle which touches the positive y-axis at a distance of 4 units from the origin cuts off an intercept 6 units from the x-axis.

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. A ray of light moving parallel to the X-axis gets reflected from a par...

    Text Solution

    |

  2. A circle and a parabola y^2=4a x intersect at four points. Show that t...

    Text Solution

    |

  3. A parabolic mirror is kept along y^(2)=4x and two light rays, parallel...

    Text Solution

    |

  4. If incident from point (-1,2) parallel to the axis of the parabola y^2...

    Text Solution

    |

  5. Find the equation of parabola having focus at (1,1) and vertex at (-3,...

    Text Solution

    |

  6. Find the equation of the parabola with focus f(4,0) and directrix x=−4...

    Text Solution

    |

  7. Find the value of lambda if the equation (x-1)^2+(y-2)^2=lambda(x+y+3)...

    Text Solution

    |

  8. The equation of the latus rectum of a parabola is x+y=8 and the equati...

    Text Solution

    |

  9. Prove that the locus of the centre of a circle, which intercepts a cho...

    Text Solution

    |

  10. Find the value of lamda if the equation 9x^(2)+4y^(2)+2lamdaxy+4x-2y+3...

    Text Solution

    |

  11. Find the range of values of lamda for which the point (lamda,-1) is ex...

    Text Solution

    |

  12. Prove that the locus of a point, which moves so that its distance from...

    Text Solution

    |

  13. LOL' and MOM' are two chord of parabola y^(2)=4ax with vertex A passin...

    Text Solution

    |

  14. If (a,b) is the midpoint of a chord passing through the vertex of the ...

    Text Solution

    |

  15. If two of the three feet of normal drawn from a point to the parabola ...

    Text Solution

    |

  16. If three distinct normals to the parabola y^(2)-2y=4x-9 meet at point ...

    Text Solution

    |

  17. Find the locus of the point of intersection of two normals to a parabo...

    Text Solution

    |

  18. P(t(1))andQ(t(2)) are points t(1)andt(2) on the parabola y^(2)=4ax. ...

    Text Solution

    |

  19. Prove that the locus of the point of intersection of the normals at th...

    Text Solution

    |

  20. Find the number of distinct normals that can be drawn from (-2,1) to t...

    Text Solution

    |