Home
Class 12
MATHS
A light ray emits from the origin making...

A light ray emits from the origin making an angle `30^(@)` with the positive `x` -axis After getting reflected by the line `x+y=1`,if this ray intersects `x` - axis at `Q`,then the abscissa of `Q` is

A

`(2)/((sqrt(3)-1))`

B

`(sqrt(3))/(3+sqrt(3))`

C

`(2)/(3+sqrt(3))`

D

`(2)/(3-sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2022

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

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|14 Videos

Similar Questions

Explore conceptually related problems

A ray of light is projected from the origin at angle of 60^@ with the positive direction of x-axis towards the line, y = 2, which gets reflected from the point ( alpha ,2). Then the distance of the reflected ray of light from the point (2, 2) is:

A ray of light coming from the point (2,2sqrt(3)) is incident at an angle 30^(@) on the line x=1 at the point A . The ray gets reflected on the line x=1 and meet x-axis at the point B . Then , the line AB passes through the point :

A ray of light is sent from the point (1,4). Upon reaching the X -axis,the ray is reflected from the (3,O) This reflected ray is again reflected by the line x+y=5 and intersect y -axis at P. Find it coOrdinates of P.

A straight line makes an angle of 135^(@) with the X-axis and cuts Y-axis at a distance -5 from the origin. The equation of the line is

If a line makes an angle (pi)/(4) with the positive directions of each of X-axis and Y-axis, then the angle that the line makes with the positive direction of the Z-axis is

A line make angle 60^(@) and 45^(@) with the positive direction of x-axis and y-axis repectively. What acute angle does it make with the z-axis?

the length of the perpendicular from the origin to a line is 7 and a line makes an angle of 150^(@) with the positive direction of y -axis.then the equation of the line is:

A light ray emerging from the point source placed at P(1,3) is reflected at a point Q in the axis of x. If the reflected ray passes through the point R(6,7), then the abscissa of Q is:

JEE MAINS PREVIOUS YEAR-JEE MAINS 2023 JAN ACTUAL PAPER-Question
  1. Let Delta be the area of the region {(x,y)in R^(2):x^(2)+y^(2)le21,y^(...

    Text Solution

    |

  2. Let x=2 be a root of the equation x^(2)+px+q=0 and f(x)={((1-cos(x^(2)...

    Text Solution

    |

  3. A light ray emits from the origin making an angle 30^(@) with the posi...

    Text Solution

    |

  4. Let B and C be the two points on the line y+x=0 such that B and C are ...

    Text Solution

    |

  5. .If p,q and r are three propositions,then which of the following combi...

    Text Solution

    |

  6. Consider the following system of equations alpha x+2y+z=1 2 alpha x+...

    Text Solution

    |

  7. Let f(theta)=3(sin^(4)((3 pi)/(2)-theta)+sin^(4)(3 pi+theta)-2(1-sin^(...

    Text Solution

    |

  8. For two non-zero complex numbers z(1) and z(2),if Re(z(1)z(2))=0 and R...

    Text Solution

    |

  9. Let alpha and beta be real numbers.Consider a 3xx3 matrix A such that ...

    Text Solution

    |

  10. Fifteen football players of a club-team are given 15T -shirts with the...

    Text Solution

    |

  11. Let f:R rarr R be a function such that f(x)=(x^(2)+2x+1)/(x^(2)+1).The...

    Text Solution

    |

  12. If the vectors vec a=lambdahat i+muhat j+4hat k,vec b=-2hat i+4hat j-2...

    Text Solution

    |

  13. .Let f(x)=x+(a)/(x^(2)-4)sin x+(b)/(pi^(2)-4)cos x,x in R be a functio...

    Text Solution

    |

  14. The domain of f(x)=(log(x+1)(x-2))/(e^(2log x)-(2x+3)),x in R is

    Text Solution

    |

  15. .Let a(1),a(2),a(3).... be a GP of increasing positive numbers.If the ...

    Text Solution

    |

  16. If the co-efficient of x^(9) in (alphax^(3)+(1)/(beta x))^(11) and the...

    Text Solution

    |

  17. Suppose f is a function satisfying f(x+y)-f(x)+f(y) for all x,y in N a...

    Text Solution

    |

  18. Let the coefficients of three consecutive terms in the binomial expans...

    Text Solution

    |

  19. Let f:R rarr R be a differentiable function that satisfies the relatio...

    Text Solution

    |

  20. Let the equation of the plane P containing the line x+10=(8-y)/(2)=z b...

    Text Solution

    |