Home
Class 11
MATHS
If P(1,2) ,Q(4,6),R(5,7), and S(a , b) a...

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=1,b=-1`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If P (1, 2), Q (4, 6), R (5, 7) and S (x, y) are the successive four vertices of the parallelogram PQRS, then

If P (-2,3), Q (4,-5) and R (-3,1) are the three consecutive vertices of a parallelogram, then find its area.

Prove that the points A (-2,-1) , B (5,4) C (6,7) and D (-1,2) are the vertices of a parallelogram.

Prove that the points P(-1,-2) Q (7,4) R (4,8) and S(-4,2) are the vertices of a rectangle.

Prove that the points A(-2,-1) B(1,0), C(4,3) and D(1,2) are the vertices of a parallelogram. Is it a rectangle ?

If the points A(6, 1), B(8, 2), C(9, 4) and D(p, 3) are the vertices of a parallelogram, taken inorder, find the value of p.

Using direction numbers show that points P(4, 7, 8) and Q(2, 3, 4), R(-1, -2, 1) and S(1, 2, 5) taken in order, are the vertices of a parallelogram. Is the parallelogram a rectangle?

If P(A)=(2)/(3), P(B)=(1)/(2) and P(A cup B) =(5)/(6) , then the events A and B are -

If P(A)=(3)/(7), P(B)=(4)/(7) and P(A cap B)=(2)/(9) , then the value of P(A//B) is -

If P(A)=(1)/(4),P(B)=(1)/(3) and P(A-B)=(1)/(6) , examine whether events A and B are independent.

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The point (4,1) undergoes the following three transformations successi...

    Text Solution

    |

  2. If the coordinates of the vertices of a triangle are rational numbers,...

    Text Solution

    |

  3. If P(1,2) ,Q(4,6),R(5,7), and S(a , b) are the vertices of a parallelo...

    Text Solution

    |

  4. If the area of the triangle formed by the points (2a ,b)(a+b ,2b+a), a...

    Text Solution

    |

  5. The incenter of the triangle with vertices (1,sqrt(3)),(0,0), and (2,...

    Text Solution

    |

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

    Text Solution

    |

  7. The distance between the circumcenter and the orthocenter of the trian...

    Text Solution

    |

  8. A man starts from the point P(-3, 4) and reaches point Q (0,1) touchin...

    Text Solution

    |

  9. Statement 1 : The area of the triangle formed by the points A(1000 ,...

    Text Solution

    |

  10. Consider three points P-=(-sin(beta-alpha),-cosbeta), Q-=(cos(beta-alp...

    Text Solution

    |

  11. Factorise: (l+m)^2–4lm

    Text Solution

    |

  12. Find |vecx| if for a unit vector, veca , (vecx-veca).(vecx+veca)=12,

    Text Solution

    |

  13. A straight line passing through P(3,1) meets the coordinate axes at A ...

    Text Solution

    |

  14. Let A-=(3,-4),B-=(1,2). Let P-=(2k-1,2k+1) be a variable point such th...

    Text Solution

    |

  15. If |{:(x1,,y1,,1),(x2,,y2,,1),(x3,,y3,,1):}|=|{:(a1,,b1,,1),(a2,,b2,,1...

    Text Solution

    |

  16. OPQR is a square and M,N are the middle points of the sides of PQ nad ...

    Text Solution

    |

  17. Which of the following sets of points form an equilateral triangle? (...

    Text Solution

    |

  18. A particle p moves from the point A(0,4) to the point 10 ,-4) . The pa...

    Text Solution

    |

  19. ABC is an isosceles triangle. If the coordinates of the base are B(1,3...

    Text Solution

    |

  20. If two vertices of a triangle are (1,3) and (4,-1) and the area of tri...

    Text Solution

    |