Home
Class 11
MATHS
Find distance PQ between the points P ( ...

Find distance PQ between the points `P ( a cos alpha, a sin alpha) and Q ( a cos beta, a sin beta)`.

Text Solution

Verified by Experts

The correct Answer is:
`2a sin ((alpha - beta)/(2)) unit`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Text based MCQs|25 Videos
  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Latest Exam MCQs|1 Videos
  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Miscellaneous Exercise : 10|26 Videos
  • STATISTICS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|9 Videos
  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|15 Videos

Similar Questions

Explore conceptually related problems

Find perpendicular distance from the origin to the line joining the points ( cos theta , sin theta ) and ( cos phi, sin phi) .

Prove that the distance of the point (a cos alpha, a sin alpha) from the origin is independent of alpha

A jet plane is at a vertical height of h. The angles of depression of two tanks on the ground in the same line with the plane are alpha and beta (alpha gt beta) . Prove that the distance between the tanks is ( h (tan alpha - tan beta))/(tan alpha tan beta)

The angle between the lines (x^(2)+y^(2))sin^(2)alpha=(x cos beta-y sin beta)^(2) is

Find P and alpha by converting equation x+y =1 in xcos alpha + y sin alpha = P form.

A ladder rests against a wall at an inclination alpha to the horizontal. Its foot is pulled away from the wall through a distance p so that its upper end slides a distance q down the wall and then the ladder makes an angle beta to the horizontal. Show that (p)/(q)= (cos beta -cos alpha)/(sin alpha- sin beta)

If alpha, beta, gamma are the roots of the cubic x^(3)-px^(2)+qx-r=0 Find the equations whose roots are (i) beta gamma +1/(alpha), gamma alpha+1/(beta), alpha beta+1/(gamma) (ii) (beta+gamma-alpha),(gamma+alpha-beta),(alpha+beta-gamma) Also find the valueof (beta+gamma-alpha)(gamma+alpha-beta)(alpha+beta-gamma)

If alpha and beta are the solution of a cos theta + b sin theta = c , then

If cot (alpha + beta )=0 , then sin(alpha+2beta ) =

KUMAR PRAKASHAN-STRAIGHT LINES-Practice Work
  1. A(6, 3), B(-3, 5), C(4, -2) and D(x, 3x) are given points. Find x if (...

    Text Solution

    |

  2. Find point on Y -axis which is at the equidistance from the given poin...

    Text Solution

    |

  3. Find distance PQ between the points P ( a cos alpha, a sin alpha) and ...

    Text Solution

    |

  4. Find x if the slope of the line passes from points A(x, 2) and B(6, -8...

    Text Solution

    |

  5. Without using Pythagoras theorem prove that A(12, 8), B(-2, 6) and C(6...

    Text Solution

    |

  6. Using definition of slope prove that P(4, 8), Q(5, 12) and R(9, 28) ar...

    Text Solution

    |

  7. Find slope of the perpendicular line to the line passes from points (0...

    Text Solution

    |

  8. Find y if the line passes from points (3,y) and (2,7) is parallel to t...

    Text Solution

    |

  9. Prove that line passes from the points A( 4, -6) and B(-2, -5) makes o...

    Text Solution

    |

  10. A(-2, 1), B(2, 3) and C(-2, -4) are verticies of Delta ABC. Find measu...

    Text Solution

    |

  11. Angle between two lines is 45° and slope of one line is 2 then find sl...

    Text Solution

    |

  12. A(0,2), B(-2,-1), C(4,0) and D(2,3) are vertices of parallelogram ABCD...

    Text Solution

    |

  13. Two lines passes through (0,0), (2,3) and (2,-2), (3,5). Find measure ...

    Text Solution

    |

  14. Obtain the equation of the line which satisfying given condition : (...

    Text Solution

    |

  15. Obtain the equation at the line in Ex. (1) to (10) satisfying given co...

    Text Solution

    |

  16. Obtain the equation at the line in Ex. (1) to (10) satisfying given co...

    Text Solution

    |

  17. Obtain the equation at the line in Ex. (1) to (10) satisfying given co...

    Text Solution

    |

  18. Obtain the equation at the line in Ex. (1) to (10) satisfying given co...

    Text Solution

    |

  19. Obtain the equation at the line in Ex. (1) to (10) satisfying given co...

    Text Solution

    |

  20. Obtain the equation at the line in Ex. (1) to (10) satisfying given co...

    Text Solution

    |