Home
Class 12
MATHS
The base vertices of an isosceles triang...

The base vertices of an isosceles triangle PQR are `Q (1,3) and R(-2, 7).` The vertex P can be-

A

`(1,6)`

B

`((1)/(2) , 5)`

C

`((5)/(6), 6)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 6|90 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

Two vertices of a triangle are (1, 3) and (4, 7). The orthocentre lies on the line x + y = 3 . The locus of the third vertex is

If A(3,4) and B(-5,-2) are the extremities of the base of an isosceles triangle ABC with tan C = 2 , then point C can be

The coordinates of two vertices of a triangle are (-2,3) and (5,-1) . If the orthocentre of the triangle is at the origin , find the coordinates of its third vertex.

If two vertices of a triangle are (-2,3) and (5,-1) the orthocentre lies at the origin, and the centroid on the line x+y=7 , then the third vertex lies at

The coordinate of the vertices B and C of the triangle ABC are (5,2,8) and (2, -3, 4) respectively, if the coordinates of the centroid of the triangle are (3, -1,3), then the coordinates of the vertex A are-

A B C is an isosceles triangle. If the coordinates of the base are B(1,3) and C(-2,7) , the coordinates of vertex A

The line segment joining the points (7,-1) and (9,3) is the base of an isosceles triangle . If the abscissa of the triangle be 4, find the vertex.

Two vertices of a triangle are (4,-3) & (-2, 5) . If the orthocentre of the triangle is at (1,2) , find coordinates of the third vertex .

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 :

Column I|Column II Two vertices of a triangle are (5,-1)a n d(-2,3) . If the orthocentre is the origin, then the coordinates of the third vertex are|p. (-4,-7) A point on the line x+y=4 which lies at a unit distance from the line 4x+3y=10 is|q. (-7,11) The orthocentre of the triangle formed by the lines x+y-1=0,x-y+3=0,2x+y=7 is|r. (2,-2) If 2a ,b ,c are in A P , then lines a x+b y=c are concurrent at|s. (-1,2)

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 9
  1. A square of side a lies above the x-axis and has one vertex at the ori...

    Text Solution

    |

  2. The triangle formed by the lines x+y =0,3x+y=4 and x+3y=4 is-

    Text Solution

    |

  3. The base vertices of an isosceles triangle PQR are Q (1,3) and R(-2, 7...

    Text Solution

    |

  4. The distance of the line 2x -3y =4 from the point (1,1) measured paral...

    Text Solution

    |

  5. The equation of the circle with origin as centre and passing through t...

    Text Solution

    |

  6. A point moves such that the area of the triangle formed by it with the...

    Text Solution

    |

  7. The length of the tangent drawn from any point on the circle x ^(2) +y...

    Text Solution

    |

  8. A point moves on a plane such that its distance from the point (3,0) ...

    Text Solution

    |

  9. If the major and minor axes of the ellipse are the axes of coordinates...

    Text Solution

    |

  10. Let m be the slope of a system of parallel chords of the parabola y ^(...

    Text Solution

    |

  11. The locus of the mid-point of the line segment joining the focus to a...

    Text Solution

    |

  12. Let R be the relation on the set A of first eight natural numbers defi...

    Text Solution

    |

  13. Out of 40 boys 30 can swim, 27 can play chess and only 5 can fo neithe...

    Text Solution

    |

  14. For two sets A and B , the three elements of AxxB are (a,x), (b,y) , ...

    Text Solution

    |

  15. The coordinates of the foci of a hyperbola are (0,4) and (0,-4) and th...

    Text Solution

    |

  16. Let RR be the set of real numbers and f, Rrto RR be defined by f (x)= ...

    Text Solution

    |

  17. The inverse of the function f(x)=(x ^(4) +x^(2) +1)/(x ^(2)) is-

    Text Solution

    |

  18. The period of the functionf(x)= tan 4x is-

    Text Solution

    |

  19. If f(x) =cos [pi^(2)]x+ cos [-pi^(2)] x, where [x] denots the greatest...

    Text Solution

    |

  20. Domain of definition of the function f(x) =sin ^(-1) [log (2)((1)/(2)x...

    Text Solution

    |