Home
Class 12
MATHS
A ray of light passing tb.rough the poin...

A ray of light passing tb.rough the point P (2, 3) reflects on the x-axis at point A and the reflected ray pas e through the point Q (5, 4) .Let R be the point that divides the, line segment.AQ intentionly into the ratio 2:1. Let the co-ordinates of the foot of the perpendicular M from R on the bisector of the angle PAQ be a `(alpha,beta)`. Then, the value: of `7alpha + 3beta` is equal to ____

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION A)|20 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION B)|11 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

  • JEE MAINS 2023 JAN ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|360 Videos

Similar Questions

Explore conceptually related problems

A ray of light passing through the point (1,2) reflects on the x-axis at point A and the reflected ray passes through the point (5,3) Find the co-ordinates of A.

A ray of light passing through the point (1,2) reflects on the xaxis at point A and the reflected ray passes through the point (5,3) . Find the coordinates of A.

A ray of light passing through the point P(1,2) reflects on the x-axis at the point A and the reflected ray passes through the point Q(5,3). Find the coordinates of the point A

A ray of light passsing through a point (1,2) is reflected on the x-axis at point Q and passes through the point (5,8). Then the abscissa of the point Q is

A ray of light is sent through the point P(1,2,3) and is reflected on the XY plane. If the reflected ray passes through the point Q(3,2,5) then the equation of the reflected ray is

A ray of light is sent through the point P(1, 2, 3,) and is reflected on the XY-plane. If the reflected ray passes through the point Q(3, 2, 5) , then the equation of the reflected ray is

A ray of light passing through the point A(2,3) reflected at a point B on line x+y=0 and then passes through (5,3). Then the coordinates of B are

A ray of light passing through the point A(1,2,3), strikews the plane xy+z=12 at B and on reflection passes through point C(3,5,9). Find the coordinate so point B.

JEE MAINS PREVIOUS YEAR-JEE MAINS 2022-Mathematics-Section B
  1. If relation defined on set A= {1,2,3, . . .,50} , and relation R1 {(p,...

    Text Solution

    |

  2. The number of real solutions of the equation e^(4x)+4e^(3x)-58e^(2x)+4...

    Text Solution

    |

  3. The mean and standard deviation of 15 - observations are found to be 8...

    Text Solution

    |

  4. veca=2hati+hatj+3hatk , vecb=3hati+3hatj+hatk & vecc=c1hati+c2hatk+c3h...

    Text Solution

    |

  5. A ray of light passing tb.rough the point P (2, 3) reflects on the x-a...

    Text Solution

    |

  6. Let l be a line which is normal to the curve y = 2x^2 + x + 2 at a poi...

    Text Solution

    |

  7. Let A ={1, a1, a2 .. .... A(18).77} be a set of intgers with 1lta1lta2...

    Text Solution

    |

  8. The number of positive integers k such that the constant term in the b...

    Text Solution

    |

  9. The number of elements in the set {z=a+ibinCC:a,binZ and 1lt|z-3+2i|lt...

    Text Solution

    |

  10. Let the lines y+2x=sqrt(11)+7sqrt7 and 2y+x=2sqrt(11)+6sqrt7 be norma...

    Text Solution

    |

  11. Let S = {z in C: |z – 2| le 1, z(1 + i) + barz(1 - i) le2} . Let |z – ...

    Text Solution

    |

  12. Let y = y(x) be the solution of the differential equation (dy)/(dx)+(s...

    Text Solution

    |

  13. Let d be the distance between the foot of perpendiculars of the points...

    Text Solution

    |

  14. The number of elements in the set S = { theta in [-4pi , 4pi] : 3 cos^...

    Text Solution

    |

  15. The number of solutions of equation 2 theta -cos^2 theta + sqrt2=0 is

    Text Solution

    |

  16. 50 tan(3tan^(-1)(1/2)+2cos^(-1)(1/sqrt5))+4sqrt2tan(1/2tan^(-1)(2sqrt2...

    Text Solution

    |

  17. Let c, k in R. If f(x)=(c+1)x^(2) + (1-c^(2))x + 2k and f(x+y)=f(x) + ...

    Text Solution

    |

  18. Let H: x^2/a^2 -y^2/b^2 = 1, a gt 0, bgt0, be a hyperbola such that th...

    Text Solution

    |

  19. Let P1 : vecr (2hati + hatj - 3hatk) = 4 be a plane. Let P2 be anothe...

    Text Solution

    |

  20. Let b1b2b3b4 be a 4-element permutation with bi in {1, 2, 3......., 1...

    Text Solution

    |