Home
Class 12
MATHS
Point P(p ,0),Q(q ,0),R(0, p),S(0,q) fro...

Point `P(p ,0),Q(q ,0),R(0, p),S(0,q)` from parallelogram rhombus cyclic quadrilateral (d) none of these

A

parallelogram

B

rhombus

C

cyclic quadrilateral

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C

The diagram is self -explanatory. From the diagram, PQRS is a cyclic quadrilateral.
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise (Multiple)|13 Videos
  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise (Comprehension)|10 Videos
  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise 1.6|9 Videos
  • COORDINATE SYSTEM

    CENGAGE|Exercise Multiple Correct Answers Type|2 Videos
  • CROSS PRODUCTS

    CENGAGE|Exercise DPP 2.2|13 Videos

Similar Questions

Explore conceptually related problems

Consider the points P(p,0,0),Q(0,q,0) and R(0,0,r) where pqr!=0 then the equation of the plane PQR is (A) px+qy+r=1 (B) x/p+y/q+z/r=1 (C) x+y+z+1/p+1/q+1/r=0 (D) none of these

If the points (0,0),(2,2sqrt(3)), and (p,q) are the verticesof an equilateral triangle,then (p,q) is

The points (p,q +r) , (q, r+p) and (r, q+p) are "_______" .

Four charges +q,+q-q, and -q are placed on X - Y plane at the points whose coordinates are (0.5, 0), (0, 0.5), (-0.5, 0) and (0, -0.5) respectively. The electric field due to these charges at a point P(r,r), where r gtgt 0. 5 , will be

If p>1 and q>1 are such that log(p+q)=log p+log q ,then the value of log(p-1)+log(q-1) is equal to (a)0(b)1 (c) 2(d) none of these

Prove that the figure formed by joining the mid-points of the pair of consecutive sides of a quadrilateral is a parallelogram. OR B A C D is a parallelogram in which P ,Q ,R and S are mid-points of the sides A B ,B C ,C D and D A respectively. A C is a diagonal. Show that : P Q|| A C and P Q=1/2A C S R || A C and S R=1/2A C P Q=S R (iv) P Q R S is a parallelogram.

If the numbers p,q,r are in A.P. then m^(7p), m^(7q), m^(7r)(mgt0) are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

If |(p,-q,0),(0,p,q),(q,0,p)|=0 , then which one of the following is correct ?

CENGAGE-COORDINATE SYSYEM -Exercise (Single)
  1. If the origin is shifted to the point ((a b)/(a-b),0) without rotation...

    Text Solution

    |

  2. A light ray emerging from the point source placed at P(2,3) is reflect...

    Text Solution

    |

  3. Point P(p ,0),Q(q ,0),R(0, p),S(0,q) from parallelogram rhombus cyclic...

    Text Solution

    |

  4. A rectangular billiard table has vertices at P(0,0),Q(0,7),R(10 ,7), a...

    Text Solution

    |

  5. ABCD is a square Points E(4,3) and F(2,5) lie on AB and CD, respective...

    Text Solution

    |

  6. If one side of a rhombus has endpoints (4, 5) and (1, 1), then the ...

    Text Solution

    |

  7. A rectangle A B C D , where A-=(0,0),B-=(4,0),C-=(4,2)D-=(0,2) , under...

    Text Solution

    |

  8. If a straight line through the origin bisects the line passing through...

    Text Solution

    |

  9. Let Ar ,r=1,2,3, , be the points on the number line such that O A1,O ...

    Text Solution

    |

  10. The vertices of a parallelogram A B C D are A(3,1),B(13 ,6),C(13 ,21),...

    Text Solution

    |

  11. Point A and B are in the first quadrant,point O is the origin. If the ...

    Text Solution

    |

  12. Let a,b,c be in A.P and x,y,z be in G.P.. Then the points (a,x),(b,y) ...

    Text Solution

    |

  13. if Sigma(i=1)^(4)(x(i)^(2)+y(i)^(2))le 2x1x3+2x2x4+2y2y3+2y1y4, the po...

    Text Solution

    |

  14. The vertices A and D of square A B C D lie on the positive sides of x-...

    Text Solution

    |

  15. Through the point P(alpha,beta) , where alphabeta>0, the straight line...

    Text Solution

    |

  16. The locus of the moving point whose coordinates are given by (e^t+e^(-...

    Text Solution

    |

  17. The locus of a point represent by x=(a)/(2)((t+1)/(t)),y=(a)/(2)((t-...

    Text Solution

    |

  18. The maximum area of the triangle whose sides a ,b and 5sintheta), and ...

    Text Solution

    |

  19. Vertices of a variable triangle are (3,4); (5costheta, 5sintheta) and ...

    Text Solution

    |

  20. From a point, P perpendicular PM and PN are drawn to x and y axes, res...

    Text Solution

    |