Home
Class 12
MATHS
If x1,x2, x3 and y1, y 2, y3 are both in...

If `x_1,x_2, x_3` and `y_1, y_ 2, y_3 `are both in `G.P.` with the same common ratio then the points `(x_1,y_1), (x_2, y_2) and (x_3, y_3)`

A

lie on an ellipse

B

lie on a circle

C

are vertices of a triangle

D

lie on a straight line

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|21 Videos
  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

Similar Questions

Explore conceptually related problems

If x_1, x_2, x_3 as well as y_1, y_2, y_3 are in G.P. with the same common ratio, then the points (x_1, y_1), (x_2, y_2) and (x_3, y_3) (A) lie on a straight line (B) lie on a parabola (C) lie on a circle (D) are vertices of a triangle

If x_(1), x_(2), x_(3) as well as y_(1), y_(2), y_(3) are in GP, with the same common ratio, then the points (x_(1),y_(1)), (x_(2),y_(2)) and (x_(3), y_(3))

If x_(1),x_(2),x_(3) as well as y_(1),y_(2),y_(3) are in GP with the same common ratio,then the points (x_(1),y_(1)),(x_(2),y_(2)), and (x_(3),y_(3)). lie on a straight line lie on an ellipse lie on a circle (d) are the vertices of a triangle.

If x_(1),x_(2),x_(3) as well as y_(1),y_(2),y_(3) are also in G.P. With the same common ratio,then the points (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) lies on

If x_(1),x_(2),x_(3) as well as y_(1),y_(2),y_(3) are in G.P. with same common ratio,then prove that the points (x_(1),y_(1)),(x_(2),y_(2)), and (x_(3),y_(3)) are collinear.

If x_(1),x_(2),x_(3), are in A.P.and y_(1),y_(2),y_(3), are also in A.P.with same common difference then the points (x_(1),y_(1)),(x_(2),y_(2)) and (x_(3),y_(3)) form

If x_1 , x_2, x_3 as well as y_1, y_2, y_3 are in A.P., then the points (x_1, y_1), (x_2, y_2), (x_3, y_3) are (A) concyclic (B) collinear (C) three vertices of a parallelogram (D) none of these

MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -QUESTIONS FROM PREVIOUS YEARS. (AIEEE/JEE MAIN PAPERS)
  1. If the pair of straight lines x^2 - 2pxy - y^2 = 0 and x^2 - 2qxy -y^2...

    Text Solution

    |

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

    Text Solution

    |

  3. If x1,x2, x3 and y1, y 2, y3 are both in G.P. with the same common rat...

    Text Solution

    |

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

    Text Solution

    |

  5. Let A(2,-3)a n dB(-2,1) be vertices of a triangle A B Cdot If the cent...

    Text Solution

    |

  6. The equation of the straight line passing through the point (4. 3) and...

    Text Solution

    |

  7. If the sum of the slopes of the lines given by x^(2)+2cxy-y^(2)=0 is f...

    Text Solution

    |

  8. If one of the lines given by 6x^2- xy +4cy^2=0 is 3x +4y=0, then c=

    Text Solution

    |

  9. The line parallel to the x-axis and passing through the intersection o...

    Text Solution

    |

  10. If a vertex of a triangle is (1, 1) and the mid-points of two side thr...

    Text Solution

    |

  11. If a,b,c are non-zero real numbers in H.P then the line (x)/(a)+(y)/(...

    Text Solution

    |

  12. If the pair of lines ax^2+2(a+b)xy+by^2=0 lie along diameters of a cir...

    Text Solution

    |

  13. A straight line through the point A(3, 4) is such that its intercept b...

    Text Solution

    |

  14. Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled ...

    Text Solution

    |

  15. Let P = (-1, 0), Q = (0, 0) and R = (3, 3sqrt3) be three points. The e...

    Text Solution

    |

  16. If one of the lines of my^(2)+(1-m^(2))xy-mx^(2)=0 is a bisector of th...

    Text Solution

    |

  17. The perpendicular bisector of the line segment joining P (1, 4) and...

    Text Solution

    |

  18. The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...

    Text Solution

    |

  19. The line L given by x/5+y/b=1 passes through the point (13,32). The li...

    Text Solution

    |

  20. The lines L(1) : y - x = 0 and L(2) : 2x + y = 0 intersect the line ...

    Text Solution

    |