Home
Class 12
MATHS
Area of the triangle with vertices (a, b...

Area of the triangle with vertices (a, b ), `(x_(1), y_(1))` and `(x_(2), y_(2))`, where `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 is :

A

`ab(r-1) (s-1) (s-r)`

B

`(1)/(2) ab (r+1) (s+1) (s-r)`

C

`(1)/(2) ab (r-1)(s-1) (s-r)`

D

`ab(r+1)(s+1) (r-s)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • UNIT TEST PAPER NO - 4

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|25 Videos

  • UNIT TEST PAPER NO. 5 (CALCULUS)

    MODERN PUBLICATION|Exercise Select the correct answer|25 Videos

Similar Questions

Explore conceptually related problems

Area of the triangle with vertices (a, b) (x_(1), y_(1)) and (x_(2), y_(2)) , where a, x_(1), x_(2) are in GP. with common ratio r and b, y_(1), y_(2) are in GP. with common ratio s is :

If the tangents at (x_(1),y_(1)) and (x_(2),y_(2)) to the parabola y^(2)=4ax meet at (x_(3),y_(3)) then

The distance between the points p(x_(1),y_(1)) and q(x_(2),y_(2)) given by is :

The distance between two points p(x_(1),y_(1)) and q(x_(2),y_(2)) is given be :

If (x_(1), y_(1)) and (x_(2), y_(2)) are the ends of the focal chord of y^(2)=4 a x then x_(1) x_(2)+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 the same common ratio, then the points (x_(1), y_(1)), (x_(2), y_(2)) and (x_(3), y_(3)) :

If x,2y, 3z are in A.P. where the distinct numbers x,y,z are in G.P., then the common ratio of the G.P. is :

If a, b, c are in A.P., a, x, b are in G.P., and b, y, c are in G.P., then (x, y) lies on :

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)) :

If x_(1) , x_(2) , x_(3) as well as y_(1), y _(2) , y_(3) are in G.P. with the same common ration, then the points ( x_(1) , y _(1)) , ( x_(2) , y _(2)) and (x_(3) , y _(3))

MODERN PUBLICATION-UNIT TEST PAPER NO. 2 (GEOMETRIES)-Select the correct answer
  1. Which one of the following is independent of alpha in the hyperbola (0...

    Text Solution

    |

  2. Volume of a tetrahedron is k (area of one face) (length of perpendicul...

    Text Solution

    |

  3. Area of the triangle with vertices (a, b ), (x(1), y(1)) and (x(2), y(...

    Text Solution

    |

  4. ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents two parallel straight lines ...

    Text Solution

    |

  5. The lines joining the origin to the points of intersection of the curv...

    Text Solution

    |

  6. Range of volues of m for which the st. line y=mx+2 cuts the circle x^(...

    Text Solution

    |

  7. The abscissae of two points P and Q are the roots of the equation x^(2...

    Text Solution

    |

  8. If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle of...

    Text Solution

    |

  9. If two circle (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 inte...

    Text Solution

    |

  10. The normal at the point (bt(1)^(2), 2bt(1)) on a parabola meets the pa...

    Text Solution

    |

  11. The radius of the circle passing through the foci of the ellipse (x^(2...

    Text Solution

    |

  12. Let P(a sec theta,b tan theta) and Q(a sec varphi, b tan varphi) where...

    Text Solution

    |

  13. The points representing root3(5+isqrt(3)) lie.

    Text Solution

    |

  14. The number of the tangents that can be drawn from (1, 2) to x^(2)+y^(2...

    Text Solution

    |

  15. The area of the rectangle formed by the perpendiculars from the centre...

    Text Solution

    |

  16. A ray of light coming along the line 3x+4y-5=0 gets reflected from th...

    Text Solution

    |

  17. If P and Q are two points on the circle : x^(2)+y^(2)-4x-4y-1=0, whi...

    Text Solution

    |

  18. A focal chord of y^(2)=4ax meets it in P and Q. If S is the focus, th...

    Text Solution

    |

  19. The eccentric angles of the extremities of latus-rectum to the ellips...

    Text Solution

    |

  20. The equation of the common tangent of the curves x^(2)+4y^(2)=8 and y^...

    Text Solution

    |