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 (a)parallelogram (b)rhombus (c)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

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

If the point (0,0),(2,2sqrt(3)), and (P ,q) are the vertices of an equilateral triangle, then (p ,q) is (a) (0,-4) (b) ( 4,4) c)(4,0) (d) (5,0)

If the ratio of the roots of a x ^2+2b x+c=0 is same as the ratios of roots of p x^2+2q x+r=0, then a. (2b)/(a c)=(q^2)/(p r) b. b/(a c)=(q^)/(p r) c. (b^2)/(a c)=(q^2)/(p r) d. none of these

If alpha,beta are real and distinct roots of a x^2+b x-c=0a n dp ,q are real and distinct roots of a x^2+b x-|c|=0,w h e r e(a >0), then alpha,beta in (p ,q) b. alpha,beta in [p ,q] c. p ,q in (alpha,beta) d. none of these

If p, q, r are any real numbers, then (A) max (p, q) lt max (p, q, r) (B) min(p,q) =1/2 (p+q-|p-q|) (C) max (p, q) < min(p, q, r) (D) None of these

If sec alpha and alpha are the roots of x^2-p x+q=0, then (a) p^2=q(q-2) (b) p^2=q(q+2) (c) p^2q^2=2q (d) none of these

P is a variable point on the line L=0 . Tangents are drawn to the circles x^(2)+y^(2)=4 from P to touch it at Q and R. The parallelogram PQSR is completed. If P -=(3,4) , then the coordinates of S are

If p+q+r=0=a+b+c =0, then the value of the determnalnt |p a q b r c q c r a p b r b p c q a|i s a 0 b. p a+q b+r c c. 1 d. none of these

Two points P(a,0) and Q(-a,0) are given. R is a variable point on one side of the line P Q such that /_R P Q-/_R Q P is a positive constant 2alphadot Find the locus of the point Rdot

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 (a)parallelogram (b)rhombus ...

    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 sum(i-1)^4(xi2+y i2)lt=2x1x3+2x2x4+2y2y3+2y1y4, the points (x1, y1)...

    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 reprersented by x=a/2((t+1)/t),y=a/2((t-1)/1) , w...

    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

    |