Home
Class 11
MATHS
P(2,1) , Q (4,-1) , R (3,2) are the vert...

P(2,1) , Q (4,-1) , R (3,2) are the vertices of a triangle and if through P and R lines parallel to opposite sides are drawn to intersect in S , then the area of PQRS , is

A

6

B

4

C

8

D

12

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|34 Videos
  • STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise SECTION - II (ASSERTION - REASON TYPE MCQs|1 Videos
  • SETS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

Normals at P, Q, R are drawn to y^(2)=4x which intersect at (3, 0). Then, area of DeltaPQR , is

Normals at P, Q, R are drawn to y^(2)=4x which intersect at (3, 0). Then, area of DeltaPQR , is

P(3, 4), Q(7, -2) and R(-2, -1) are the vertices of triangle PQR. Write down the equation of the median of the triangle through R.

P (4, 2) and Q (-1, 5) are the vertices of parallelogram PQRS and (-3, 2) are the co-ordinates of the point of intersection of its diagonals. Find co-ordinates of R and S.

If P(-5,\ -3),\ Q(-4,\ -6),\ R(2,\ -3) and S(1,\ 2) are the vertices of a quadrilateral P Q R S , find its area.

"P"(6," "3," "2)," Q"(5," "1," "3)"andR"(3," "3," "5) are three vertices of a triangle "P Q R"dot Find /_"P Q R"dot

If P_1, P_2 and P_3 are the altitudes of a triangle from vertices A, B and C respectively and Delta is the area of the triangle, then the value of 1/P_1+1/P_2-1/P_3=

P Q R is a triangle in which P Q=P R and S is any point on the side P Q . Through S , a line is drawn parallel to Q R and intersecting P R at Tdot Prove that P S=P Tdot

Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The point R inside the triangle O P Q is such that the triangles O P R ,P Q R ,O Q R are of equal area. The coordinates of R are (4/3,3) (b) (3,2/3) (3,4/3) (d) (4/3,2/3)

Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The point R inside the triangle O P Q is such that the triangles O P R ,P Q R ,O Q R are of equal area. The coordinates of R are a. (4/3,3) b. (3,2/3) c. (3,4/3) d. (4/3,2/3)

OBJECTIVE RD SHARMA ENGLISH-STRAIGHT LINES-Exercise
  1. The limiting position of the point of intersection of the lines 3x+4y=...

    Text Solution

    |

  2. Given three straight lines 2x+11 y-5=0,24 x+7y-20=0, and 4x-3y-2=0 . T...

    Text Solution

    |

  3. P(2,1) , Q (4,-1) , R (3,2) are the vertices of a triangle and if thro...

    Text Solution

    |

  4. If a line passes through the point (2,2) and encloses a triangle of a...

    Text Solution

    |

  5. Points on the line x + y = 4 which are equidistant from the lines |x| ...

    Text Solution

    |

  6. If AB=4 and the ends A, B move on the coordinate axes, the locus of t...

    Text Solution

    |

  7. A straight line L is perpendicular to the line 5x-y=1 . The area of th...

    Text Solution

    |

  8. Let O be the origin. If A(1,0)a n dB(0,1)a n dP(x , y) are points such...

    Text Solution

    |

  9. about to only mathematics

    Text Solution

    |

  10. The straight line passing through P(x1,y1) and making an angle alpha w...

    Text Solution

    |

  11. Find the value of lambda, if the lines 3x-4y-13=0, 8x-11y-33, and 2x-3...

    Text Solution

    |

  12. The equation of line on which the perpendicular from the origin make 3...

    Text Solution

    |

  13. The area (in square units ) of the triangle formed by y-axis , the str...

    Text Solution

    |

  14. Find all points on x+y=4 that lie at a unit distance from the line 4x+...

    Text Solution

    |

  15. Find the equations of the lines through the point of intersection of ...

    Text Solution

    |

  16. The number of lines that are parallel to 2x + 6y -7= 0 and have an int...

    Text Solution

    |

  17. The ratio in which the line segment joining (-1,1) and (5,7) is divide...

    Text Solution

    |

  18. The image of the point (1, 3) in the line x + y-6 = 0 is

    Text Solution

    |

  19. A triangle ABC right angled at A has points A and B as (2, 3) and (0, ...

    Text Solution

    |

  20. The equation of the line passing though the intersection of x-sqrt(3)y...

    Text Solution

    |