Home
Class 10
MATHS
If P(-1,2) , Q(k,-2) , R(7,4) are the ve...

If P(-1,2) , Q(k,-2) , R(7,4) are the vertices of `trianglePQR` whose area is 22 sq.units then k is :

A

5

B

6

C

7

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY

    PREMIERS PUBLISHERS|Exercise Activities|11 Videos

  • ALGEBRA

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT OBJECTIVE TYPE QUESTIONS (Match the following)|4 Videos

  • GEOMETRY

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT OBJECTIVE TYPE QUESTIONS|22 Videos

Similar Questions

Explore conceptually related problems

If (9,a) (3,2) (4,-1) are the vertices of a triangleABC whose area is 7.5 sq.cm then a is :

If (k,2) ,(2,4) and (3,2) are vertices of the triangle of area 4 square units then determine the value of k.

If (k,2),(2,4) and (3,2) are vertices of the triangle of area 4 square units then determine the value of k.

Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The point R inside the triangle O P Q is such that the triangles O P R ,P Q R ,O Q R are of equal area. The coordinates of R are (a) (4/3,3) (b) (3,2/3) (c) (3,4/3) (d) (4/3,2/3)

P(3,4), Q(7,2) and R(-2, -1) are the vertices of PQR. Write down the slope of each side of the triangle.

If P(1,2)Q(4,6),R(5,7), and S(a , b) are the vertices of a parallelogram P Q R S , then (a) a=2,b=4 (b) a=3,b=4 (c) a=2,b=3 (d) a=1orb=-1

The four vertices of a quadrilateral are (1,2) (-5,6) (7,-4) and (k,-2) taken in order. if the area of the quadrilateral is 9 sq. units find the value of k.

Show that P(3,4), Q(7, -2), R((1,1) and S(-3, 7) are the vertices of a parallelogram.

If two vertices of a triangle are (1,3) and (4,-1) and the area of triangle is 5 sq. units, then the angle at the third vertex lies in :

PREMIERS PUBLISHERS-CO-ORDINATE GEOMETRY -Other Important Objective
  1. The slope of the line joining (-2,-1) and (-5,8) is :

    Text Solution

    |

  2. If A is (-7,2) and B is (2,-3) then the slope of the line perpendicula...

    Text Solution

    |

  3. The equation of line through (2,1) and parallel to x+2y=5 is :

    Text Solution

    |

  4. The equation of a line through origin and perpendicular to the line ...

    Text Solution

    |

  5. The vertices of a triangleABC are (1,4)(3,5) and (-1,0) then its centr...

    Text Solution

    |

  6. The area of the triangle ABC whose vertices are (2,1) (-3,4) (6,2) is...

    Text Solution

    |

  7. If P(-1,2) , Q(k,-2) , R(7,4) are the vertices of trianglePQR whose ar...

    Text Solution

    |

  8. Given that the points (-4,-1) (a,b) and (-2,5) are collinear and if ...

    Text Solution

    |

  9. If (9,a) (3,2) (4,-1) are the vertices of a triangleABC whose area is...

    Text Solution

    |

  10. The equation of a straight line whose x intercept is 3 and y intercept...

    Text Solution

    |

  11. The equation of the line with slope 1/2 and passing through origin i...

    Text Solution

    |

  12. The equation of any straight line parallel to y-axis and passing thro...

    Text Solution

    |

  13. The equation of the line whose inclination is 45^@ and x-intercept 7 ...

    Text Solution

    |

  14. The equation of a line through (-2,3) and where slope is 1/3 is give...

    Text Solution

    |

  15. Equation of the line joining (6,10) and (14,12) is :

    Text Solution

    |

  16. The equation of a straight line through (2,1) with equal intercepts o...

    Text Solution

    |

  17. Find the value of 'a' if the line through (-2,5)(2,-3) is perpendicula...

    Text Solution

    |

  18. The x and y intercepts of the line 2x+5y=10 are :

    Text Solution

    |

  19. Find the slope of the line which is perpendicular to 2x-4y+5=0

    Text Solution

    |

  20. A(-3,0),B(1,3),C(2,-1) are the vertices of triangleABC. Then the equat...

    Text Solution

    |