Home
Class 12
MATHS
The line joining (5,0) to (10cos theta,1...

The line joining `(5,0)` to `(10cos theta,10sin theta)` is divided internally in the ratio `2:3` at P then the locus of P is

A

a pair of straight lines

B

a circle

C

a straight line

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    DISHA PUBLICATION|Exercise Exercise : -1 Concept Builder (Topicwise 8)|6 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

Line segment joining (5, 0) and (10 costheta,10 sintheta) is divided by a point P in ratio 2 : 3 If theta varies then locus of P is a ; A) Pair of straight lines C) Straight line B) Circle D) Parabola

The locus of a point P which divides the line joining (1, 0) and (2 cos theta, 2 sin theta) internally in the ratio 2: 3 for all theta , is a

The locus of a point P which divides the line joining (1,0) and (2cos theta,2sin theta) intermally in the ratio 1:2 for all theta. is

If the point R divides the line segment joining the point (2, 3) and (2 tan theta, 3 sec theta), 0 lt theta lt (pi)/(2) internally in the ratio 2 :3 , then the locus of R is

A (2, 3) is a fixed point and Q(3 cos theta, 2 sin theta) a variable point. If P divides AQ internally in the ratio 3:1, find the locus of P.

5. sin p theta+sin q theta=0

Let P(3,6),Q(3cos theta,3sin theta),R(3sin theta,-3cos theta) then the locus of centroid of PQR is

DISHA PUBLICATION-CONIC SECTIONS-Exercise-2 : Concept Applicator
  1. The equation of tangents drawn from the origin to the circlex^2+y^2-2r...

    Text Solution

    |

  2. Let AB be a chord of the circle x^(2) +y^(2) =r^(2) subtending a right...

    Text Solution

    |

  3. The line joining (5,0) to (10cos theta,10sin theta) is divided interna...

    Text Solution

    |

  4. Four distinct points (2k,3k) , (1,0), (0,1) and (0,0) lies on a circl...

    Text Solution

    |

  5. The number of integral values of lambda for which the equation x^2+y^2...

    Text Solution

    |

  6. The cable of a uniformly loaded suspension bridge hangs in the form...

    Text Solution

    |

  7. If from any point P, tangents PT, PT' are drawn to two given circles w...

    Text Solution

    |

  8. y=2x is a chord of the circle x^2 + y^2-10x = 0, then the equation of ...

    Text Solution

    |

  9. If a!=0 and the line 2bx+3cy+4d=0 passes through the points of interse...

    Text Solution

    |

  10. Q57) If the circle x^2+y^2+2ax+cy+a=0 and x^2+y^2-3ax+dy-1=0 intersect...

    Text Solution

    |

  11. A rod AB of length 15 cm rests in between two coordinate axes in su...

    Text Solution

    |

  12. Find the area of the triangle formed by the lines joining the vertex o...

    Text Solution

    |

  13. The eccentricities of the ellipse x^(2)/alpha^(2)+y^(2)/beta^(2)=1,alp...

    Text Solution

    |

  14. The middle point of chord x+3y=2 of the conic x^(2)+xy-y^(2)=1, is

    Text Solution

    |

  15. If x^2/a^2+y^2/b^2=1(a>b) and x^2-y^2=c^2 cut at right angles, then:

    Text Solution

    |

  16. If the line x+my+am^(2)=0 touches the parabola y^(2)= 4ax then the pon...

    Text Solution

    |

  17. The equation of the conic with focus at (1,-1), directrix along x -y +...

    Text Solution

    |

  18. The equation of one of the common tangent to the parabola y^(2) = 8x a...

    Text Solution

    |

  19. If two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 int...

    Text Solution

    |

  20. The number of points of intersection of the two curves y=2 sin x and...

    Text Solution

    |