Home
Class 11
MATHS
If P,Q are two point on the line 3x+4y+1...

If P,Q are two point on the line 3x+4y+15=0 such that OP=OQ=9, then the area of `Delta`OPQ is

A

`6sqrt2`

B

`9sqrt2`

C

`12sqrt2`

D

`18sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-II Problems on form, symmetric form, Perpendicular distance and Ratio)(More than correct answer Type Question)|8 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-II Problems on form, symmetric form, Perpendicular distance and Ratio)(Linked comprehension Type Question)|3 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-II Problems on form, symmetric form, Perpendicular distance and Ratio) ( Straight Objective Type Question)|1 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

If P,Q are two points on the line 3x+4y+15=0 such that OP=OQ=9 , then the area of DeltaOPQ is

If O is the origin and A and B are points on the line 3x - 4 y + 25 = 0 such that OA = OB = 13 , Then the area of Delta OAB (In sq units) is

P and Q are two points on the line x-y+1=0 , If OP=OQ=6 then length of median through O is

B,C are two points on 3x+4y-15=0 such that OB+OC=10 then maximum possible area of triangle OBC is

If P(alpha, beta) be a point on the line 3x + y = 0 such that the point P and the point Q(1, 1) lie on either side of the line 3x = 4y + 8 then

If P be any point on the plane lx+my+nz =p and Q be a point on the line OP such that OP.OQ = p^(2) then find the locus of the point Q.

If p and Q are two points on the curve y=2^(x+2) such that OP .hat(i)=-1 and QQ hat(i)=2 then the magnitude of (OQ-4 OP) is

If P is a poit (x,y) on the line y=-3x such that P and the point (3,4) are on the opposite sides of the line 3x-4y =8, then

A(-9, 0) and B(-1, 0) are two points. If P(x, y) is a point such that 3PB = PA , then the locus of P is

AAKASH SERIES-STRAIGHT LINES-LECTURE SHEET(EXERCISE-II Problems on form, symmetric form, Perpendicular distance and Ratio)( Straight Objective Type Question)
  1. The equation of a straight line on which the length of perpendicular f...

    Text Solution

    |

  2. The equation of a line through the point (1,2) whose distance from the...

    Text Solution

    |

  3. If P,Q are two point on the line 3x+4y+15=0 such that OP=OQ=9, then th...

    Text Solution

    |

  4. The algebraic sum of the perpendicular distances from A, B, C to a var...

    Text Solution

    |

  5. The equation to the base of an equilateral triangle is (sqrt3+1)x+(sqr...

    Text Solution

    |

  6. If the base of an isosceles triangle is of length 2P and the length of...

    Text Solution

    |

  7. Line L has intercepts a and b on the coordinate axes. When the axes ar...

    Text Solution

    |

  8. An equilateral triangle is constructed between two parallel line sqrt3...

    Text Solution

    |

  9. The line L given by x/5+y/b=1 passes through the point (13,32). The li...

    Text Solution

    |

  10. PQR is an equitateral triangle such that the vertices Q and R lie on t...

    Text Solution

    |

  11. P is a point on the line y=2x+1, and Q and R are tow points on the lin...

    Text Solution

    |

  12. If P(1+t//sqrt2,2+t//sqrt2) is any point on a line, then the range of ...

    Text Solution

    |

  13. The line x+2y=4 is transtated by 3units closer to the origin and then ...

    Text Solution

    |

  14. If the line 2x+y=k passes through the point which divides the line seg...

    Text Solution

    |

  15. A straight line through the origin O meets the parallel lines 4x+2y=9 ...

    Text Solution

    |

  16. The foot of the perpendicular on theline 3x+y=lambda drawn from the or...

    Text Solution

    |

  17. The range of alpha " for which the points " (alpha,alpha+2) and ((3a...

    Text Solution

    |

  18. P(m,n)(m,nin N) is any point in the inerior of the the quadrilateral f...

    Text Solution

    |

  19. If (sintheta,costheta,0 in[0,2theta] and (1,4) " lie on the same side ...

    Text Solution

    |

  20. The set of values of 'b' for which the origin and the point (1,1) lie ...

    Text Solution

    |