Home
Class 12
MATHS
Perpendicular from the origin to the lin...

Perpendicular from the origin to the line joining the points `(c cos alpha, c sin alpha)` and `(c cos beta, c sin beta)` divides it in the ratio

A

`2:1`

B

`1:2`

C

`1:1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE

    ML KHANNA|Exercise PROBLEM SET(1)(TRUE AND FALSE)|1 Videos

  • RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE

    ML KHANNA|Exercise PROBLEM SET(1)(FILL IN THE BLANK)|3 Videos

  • RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE

    ML KHANNA|Exercise COMPREHENSION |11 Videos

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Self Assessment Test (Multiple Choise Questions)|34 Videos

  • SELF ASSESSMENT TEST

    ML KHANNA|Exercise OBJECTIVE MATHEMATICS |16 Videos

Similar Questions

Explore conceptually related problems

The perpendicular form the origin on the line joining the points P(r cos alpha,r sin alpha) and Q(r cos beta,r sin beta) divides PQ in the ratio 1 : k then principal value of cos^(-1)((1)/(k))

The points A(0, 0), B(cos alpha, sin alpha) and C(cos beta, sin beta) are the vertices of a right angled triangle if :

If a straight line through the origin bisects the line passing through the given points (a cos alpha,a sin alpha) and (a cos beta,a sin beta), then the lines (a)are perpendicular (b)are parallel (c)have an angle between them of (pi)/(4) (d)none of these

Coordinates of the foot of the perpendicular drawn from 0,0 to he line jolning (a cos alpha,a sin alpha) and (a cos beta,a sin beta) are

The lines x cos alpha+y sin alpha=P_(1) and x cos beta+y sin beta=P_(2) will be perpendicular,if :

If sin alpha+sin beta=a and cos alpha-cos beta=b then

If origin is the orthocenter of a triangle formed by the points (cos alpha*sin alpha,0)*(cos beta,sin beta.0),(cos gamma,sin gamma,0) then sum cos(2 alpha-beta-gamma)=

If origin is the orthocentre of the triangle with vertices A(cos alpha,sin alpha),B(cos beta,sin beta),C(cos gamma,sin gamma) then cos(2 alpha-beta-gamma)+cos(2 beta-gamma-alpha)+cos(2 gamma-alpha-beta)=

If cos alpha+cos beta=0=sin alpha+sin beta, then cos2 alpha+cos2 beta is equal to

ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-PROBLEM SET(1)(MULTIPLE CHOICE QUESTIONS)
  1. The vertices of a triangle ABC are (2,1), (5,2) and (3,4) respectively...

    Text Solution

    |

  2. If a and b are real numbers between 0 and 1 such that the points (a,1)...

    Text Solution

    |

  3. Perpendicular from the origin to the line joining the points (c cos al...

    Text Solution

    |

  4. If A(a,a),B(-a,-a) are two vertices of an equilateral triangle then it...

    Text Solution

    |

  5. The range of values of alpha in the interval (0,pi) such that the poin...

    Text Solution

    |

  6. ABC is an isosceles triangle. If the coordinates of the base are B(1,3...

    Text Solution

    |

  7. A point P on y-axis is equisdistant from the points A(-5,4) and B(3,-2...

    Text Solution

    |

  8. If the vertices P,Q,R of a triangle PQR are rational points, which of ...

    Text Solution

    |

  9. If alpha,beta, gamma are the real roots of the equation x^(3)-3ax^(2)+...

    Text Solution

    |

  10. Let O(0, 0), P(3, 4), Q(6, 0) be the vertices of the triangle OPQ. The...

    Text Solution

    |

  11. Let S1 , S2 , …. Be squares such that for each n ge 1 the length of a...

    Text Solution

    |

  12. If the point P(x,y) be equidistant from the points A(a+b,b-a) and B(a-...

    Text Solution

    |

  13. If the equation of the locus of a point equidistant from the points (a...

    Text Solution

    |

  14. Vertices of a DeltaABC are A(2,2),B(-4,-4),C(5,-8). Then length of the...

    Text Solution

    |

  15. If O be the origin and Q(1)(x(1),y(1)) and Q(2)(x(2),y(2)) be two poin...

    Text Solution

    |

  16. The sides of a triangle are 3x + 4y, 4x + 3y and 5x+5y units, where x ...

    Text Solution

    |

  17. The triangle OAB is right angled where points O,A,B are (0,0) (cos the...

    Text Solution

    |

  18. The line joining the points A(bcos theta, b sin theta) and B(a cos phi...

    Text Solution

    |

  19. The vertices of a triangle ABC has co -ordinates (cos theta, sin theta...

    Text Solution

    |

  20. Locus of the centroid of a triangle whose vertices are (a cos t, a sin...

    Text Solution

    |