Home
Class 11
MATHS
If O is the origin P(2,3) and Q(4,5) are...

If O is the origin P(2,3) and Q(4,5) are two, points, then `OP*OQ cos anglePOQ`=

A

8

B

15

C

22

D

23

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN CO-ORDINATE SYSTEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|6 Videos

  • BINOMIAL THEOREM AND ITS APPLCIATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

  • DETERMINANTS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

If O is the origin and P(x_(1),y_(1)), Q(x_(2),y_(2)) are two points then OPxOQ sin angle POQ=

If O be the origin and if P(x_1, y_1) and P_2 (x_2, y_2) are two points, the OP_1 (OP_2) sin angle P_1OP_2 , is equal to

If O is the origin and O Pa n dO Q are the tangents from the origin to the circle x^2+y^2-6x+4y+8-0 , then the circumcenter of triangle O P Q is (3,-2) (b) (3/2,-1) (3/4,-1/2) (d) (-3/2,1)

If O is the origin and Q is a variable, point on x^(2)=4y , find the locus of the mid-point of OQ.

If O is the origin and Q is a variable points on x^2=4ydot Find the locus of the mid pint of OQ.

Let P(2,-1,4) and Q(4,3,2) are two points and as point R on PQ is such that 3PQ=5QR , then the coordinates of R are

If O is the origin and OP, OQ are distinct tangents to the circle x^(2)+y^(2)+2gx+2fy+c=0 then the circumcentre of the triangle OPQ is

STATEMENT -1 : if O is the origin and OP and OQ are tangents to the circle x^(2) + y^(2) + 2x + 4y + 1 = 0 the circumcentre of the triangle is ((-1)/(2), -1) . and STATEMENT-2 : OP.OQ = PQ^(2) .

If the coordinates of the two points are P(-2,3) and Q(-3,5) , then (Abscissa of P)-(Abscissa of Q) is

In the given figure, AB and CD are two equal chords of a circle, with centre O. If P is the mid-point of chord AB, Q is the mid-point of chord CD and anglePOQ = 150^(@) find angleAPQ

OBJECTIVE RD SHARMA ENGLISH-CARTESIAN CO-ORDINATE SYSTEM -Exercise
  1. If the centroid of the triangle formed by the points (a ,\ b),\ (b ...

    Text Solution

    |

  2. Write the coordinates of the orthocentre of the triangle formed by ...

    Text Solution

    |

  3. If O is the origin P(2,3) and Q(4,5) are two, points, then OP*OQ cos ...

    Text Solution

    |

  4. If O is the origin and P(x(1),y(1)), Q(x(2),y(2)) are two points then ...

    Text Solution

    |

  5. If P(3,7) is a point on the line joining A(1,1) and B(6,16), then the ...

    Text Solution

    |

  6. The coordinates of the centrid of a triangle having its circumcentre a...

    Text Solution

    |

  7. The mid-point of the sides of a DeltaABC are D(6,1) ,E(3,5) and F(-1,-...

    Text Solution

    |

  8. If the coordinates of orthocentre O' are centroid G of a DeltaABC are ...

    Text Solution

    |

  9. The ratio in which the y-axis divides the line segement joining (4,6),...

    Text Solution

    |

  10. If C and D are the points of internal and external division of line se...

    Text Solution

    |

  11. If the centroid of a triangle is (1,\ 4) and two of its vertices...

    Text Solution

    |

  12. A triangle with vertices (4, 0), (-1,-1), (3,5), is

    Text Solution

    |

  13. The angle through which the coordinates axes be rotated so that xy-ter...

    Text Solution

    |

  14. In order to make the first degree terms missing in the equation 2x^2+7...

    Text Solution

    |

  15. When the origin is shifted to a suitable point, the equation 2x^2+y^2-...

    Text Solution

    |

  16. If by shifting the origin at (1,1) the coordinates of a point P become...

    Text Solution

    |

  17. By rotating the coordinates axes through 30^(@) in anticlockwise sens...

    Text Solution

    |

  18. In Delta ABC, the sides BC =5,CA=4 and AB=3. If A-=(0,0) and the inter...

    Text Solution

    |

  19. The harmonic conjugate of (4,-2) with respect to (2,-4) and (7,1) is

    Text Solution

    |

  20. If the coordinates of the centroid and a vertex oc an equilaterqal tri...

    Text Solution

    |