Home
Class 11
MATHS
If x(1), x(2), x(3) as well as y(1), y(2...

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 the points `P(x_(1), y_(1)), Q(x_(2), y_(2)) and R(x_(3), y_(3))`

A

lie on a straight line

B

lie on an ellipse

C

lie on a circle

D

are vertices of a triangle

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas) (More than one correct answer Type Question)|1 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas)(Linked comprehension Type Question)|1 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|102 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 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 geometric progression with same common ratio thent he points (x_1,y_1),(x_2,y_2),(x_3,y_3) are

If x_(1), x_(2), x_(3) are in A.P. and 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))

The coordinates of the midpoint joining P(x_(1),y_(1)) and Q(x_(2),y_(2)) is ....

The co-ordinates of the mid points joining P(x_1,y_1) and Q(x_2,y_2) is….

If a, x_(1), x_(2) are in G.P. With common ratio 'r' and b,y_(1),y_(2) are in G.P with common ratio 's' where s-r = 2 then find the area of triangle with vertices (a,b), (x_(1),y_(1)) "and" (x_(2),y_(2)) .

If a,x_(1), x_(2), x_(3) …..and b, y_(1), y_(2) , …..form two infinite A.P's with common difference p and q respectively then the locus of P(h, k) when h=(x_(1)+x_(2)+x_(3)……+x_(n))/(n) , k=(y_(1)+y_(2)+……..+y_(n))/(n) is

Find the coordinates of the centroid fof the triangle whose vertices are (x_(1),y_(1),z_(1)),(x_(2),y_(2),z_(2)) and (x_(3),y_(3),z_(3))

Let P_(r)(x_(r),y_(r),z_(r)), r=1,2,3 " be three points where " x_(1),x_(2),x_(3),y_(1),y_(2),y_(3), z_(1),z_(2),z_(3) are each in G.P. with the same common rato then P_(1),P_(2),P_(3) are

AAKASH SERIES-STRAIGHT LINES-LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas)(Straight Objective Type Question)
  1. The ends of a rod of length l move on two mutually perpendicu...

    Text Solution

    |

  2. A line passing through (3,4) meets the axes bar(OX) and bar(OY) at A a...

    Text Solution

    |

  3. The locus of the midpoint of the portion between the axes of xcosalpha...

    Text Solution

    |

  4. A staight line through the point A(3,4) is such that its intercept bet...

    Text Solution

    |

  5. A line is drawn through the point (1,2) to meet the coordinate axes at...

    Text Solution

    |

  6. A variable line x//a+y//b = 1 moves in such a way that the harmonic me...

    Text Solution

    |

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

    Text Solution

    |

  8. Two medians drawn from the acute acute angles of a right-angled triang...

    Text Solution

    |

  9. The equation of the diangonal OB of the rectangle given in the diagram...

    Text Solution

    |

  10. Let A be any point on the x-axis and B=(2,3). The perpendicular at A t...

    Text Solution

    |

  11. If the equation of the locus of a point equi-distant from the points (...

    Text Solution

    |

  12. The area bounded by the curve : max {absx,asbsy}=5 is

    Text Solution

    |

  13. The line x=c cuts the triangle with corners (0,0),(1,1) and (9,1) into...

    Text Solution

    |

  14. A system of lines is given as y=m1x+c1," where " m1 can take any val...

    Text Solution

    |

  15. The base of a triangle lies along the line x=a and is of length a. The...

    Text Solution

    |

  16. If x(1), x(2), x(3) as well as y(1), y(2), y(3) are in G.P with same c...

    Text Solution

    |

  17. A straight line through the point (2, 2) intersects the lines sqrt(3)x...

    Text Solution

    |

  18. AB is a variable lines sliding between the coordinate axes in such a w...

    Text Solution

    |

  19. A line has intercepls a and b on the coordinate axes. When the axes ar...

    Text Solution

    |

  20. If h denote the arithmetic mean, k denote G.M. of the intercepts made ...

    Text Solution

    |