Home
Class 14
MATHS
What is the product of the perpendicular...

What is the product of the perpendiculars drawn from the points `(pm sqrt(a^(2) - b^(2)) , 0)` upon the line bx cos `alpha + ay sin alpha = ab` ?

A

`a^(2)`

B

`b^(2)`

C

`a^(2) + b^(2)`

D

`a + b`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • POINT & LINE

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |105 Videos
  • PERMUTATION AND COMBINATION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|50 Videos
  • PROBABILITY

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|159 Videos

Similar Questions

Explore conceptually related problems

What is the product of the perpendicualars drawn from the point pm (sqrt(a^(2)-b^(2)),0) upon the line bx cos alpha + ay sin alpha =ab ?

What is the product of the perpendiculars from the two points (pm sqrt(b^(2)-a^(2)), 0) to the line ax cos phi + by sin phi =ab ?

Prove that the product of the length of the perpendiculars from the points (sqrt(a^2 -b^2) , 0) and (-sqrt(a^2 -b^2), 0) to the line x/a cos theta + y/a cos theta + y/b sin theta = 1 is

Prove that the product of the lengths of the perpendiculars drawn from the points (sqrt(a^2-b^2),""""0) and (-sqrt(a^2-b^2),""""0) to the line x/a costheta + y/b sintheta=1 is b^2 .

Find the length of perpendicular from the point (a cos alpha, a sin alpha) to the line x cos alpha+y sin alpha=p .

23, Prove that the product of the lengths of the perpendiculars drawn from thepoints (a?-B,0) and (-Va -B,0) to the line cos 0 sin 6 =lis B.

If P_(1) and p_(2) are the lenghts of the perpendiculars drawn from the origin to the two lines x sec alpha +y . Cosec alpha =2a and x. cos alpha +y. sin alpha =a. cos 2 alpha , show that P_(1)^(2)+P_(2)^(2) is constant for all values of alpha .

PUNEET DOGRA-POINT & LINE -PREV YEAR QUESTIONS
  1. Which one of the following is correct is respect of the equations (x -...

    Text Solution

    |

  2. If P be a point equidistant from points A (3,4) and B (5,-2) and area ...

    Text Solution

    |

  3. What is the product of the perpendiculars drawn from the points (pm sq...

    Text Solution

    |

  4. Two straight line paths are represented by the equations 2x -y = 2 and...

    Text Solution

    |

  5. What is the inclination of the line sqrt(3)x - y - 1 = 0 ?

    Text Solution

    |

  6. A straight line passes through the points (5 , 0) and (0,3) . The leng...

    Text Solution

    |

  7. What is the equation of a straight line which passes through (3 , 4) a...

    Text Solution

    |

  8. What is the angle between the line x + y = 1 and x - y = 1 ?

    Text Solution

    |

  9. What is the equation of the straight line passing through (5 , -2) and...

    Text Solution

    |

  10. The equation of the line , the reciprocals of whose intercepts on the ...

    Text Solution

    |

  11. The equation of the locus of a poinnt which is equidistant from the ax...

    Text Solution

    |

  12. A point P moves such that its distances from (1 , 2) and (-2 , 3) are ...

    Text Solution

    |

  13. What angle does the line segment joining (5 , 2) and (6 , -15) subtend...

    Text Solution

    |

  14. Find the equation of a line which passes through (– 3, 2) and perpendi...

    Text Solution

    |

  15. For what value of k are the two straight lines 3x + 4y = 1 and 4x + 3y...

    Text Solution

    |

  16. The vertices of a parallelogram in order are A(1, 2), B(4, y), C(x, 6)...

    Text Solution

    |

  17. What is the distance between the lines 3x + 4y = 9 and 6x + 8y = 18 ?

    Text Solution

    |

  18. What is the equation of line passing through (0 , 1) and making an ang...

    Text Solution

    |

  19. What is the perpendicular distance of the point (x , y) from X-axis ?

    Text Solution

    |

  20. The equation of a straight line which makes an angle 45° with the x-ax...

    Text Solution

    |