Home
Class 12
MATHS
Four distinct points (2k,3k) , (1,0), (...

Four distinct points (2k,3k) , (1,0), (0,1) and (0,0) lies on a circle for-

A

only one value of k

B

`0 lt K lt 1`

C

`klt0`

D

all integral values of k

Text Solution

Verified by Experts

The correct Answer is:
A
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

Four distinct points (k, 2k), (2, 0), (0, 2) and (0,0) lie on a circle for : (A) k = 0 (B) k = 6/5 (C) k = 1 (D) k = -1

Four distinct points (2K,3K),(1,0),(0,1) and (0,0) lie on circle when

If four distinct points (2k,3k),(2,0),(0,3),(0,0) lie on a circle then 01

Find the values of k for which the points (2k,3k),(1,0),(0,1), and (0,0) lie on a circle.

The four distinct points (2,3),(0,2),(2,4) and (0,t) are concyclic, when the value of is

Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2) . Point D lies on a line L orthogonal to the plane determined by the points A, B and C. Q. The equation of the plane ABC is

DISHA PUBLICATION-CONIC SECTIONS-Exercise-2 : Concept Applicator
  1. Let AB be a chord of the circle x^(2) +y^(2) =r^(2) subtending a right...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The equation of the ellipse with its centre at (1, 2), focus at (6, 2)...

    Text Solution

    |