Home
Class 11
MATHS
A B C is a triangle, P is a point on A B...

`A B C` is a triangle, `P` is a point on `A B a n dQ` is a point on `A C` such that `/_A Q P=/_A B Cdot` Complete the relation `(A r e aof A P Q)/(A r e aof A B C)=dot(())/(A C^2)` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

A B C D is a parallelogram. P is a point on A D such that A P=1/3A D and Q is a point on B C such that C Q=1/3B P . Prove that A Q C P is a parallelogram.

A B C D is a parallelogram. P is a point on A D such that A P=1/3\ A D\ a n d\ Q is a point on B C such that C Q=1/3B C . Prove that A Q C P is a parallelogram.

In Figure, A B C D is a parallelogram in which P is the mid-point of D C and Q is a point on A C such that C Q=1/4A Cdot If P Q produced meets B C at Rdot Prove that R is a mid-point of B Cdot

In Figure D\ a n d\ E are two points on B C such that B D=D E=E Cdot Show that a r(\ A B D)=\ a r\ (\ A D E)=a r\ (\ A E C)dot

In a triangle A B C , let P and Q be points on AB and AC respectively such that P Q || B C . Prove that the median A D bisects P Q .

In a triangle A B C , N is a point on A C such that B N_|_A C . If B N^2=A N N C , prove that /_B=90o .

In triangle A B C , if A D is the bisector of /_A , prove that: (A r e a( A B D))/(A r e a( A C D))=(A B)/(A C)

A B C is a triangle right angled at B ; a n d\ P is the mid-point of A C . Prove that: P Q\ _|_A B (ii) Q is the mid point of A B P B=P A=1/2A C

In A B C , P divides the side A B such that A P : P B=1:2 . Q is a point in A C such that P Q B C . Find the ratio of the areas of A P Q and trapezium B P Q C .

A B C is a triangle in which D is the mid-point of B C and E is the mid-point of A Ddot Prove that area of B E D=1/4a r e aof A B Cdot

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Solve sinx+siny=sin(x+y)a n d|x|+|y|=1

    Text Solution

    |

  2. Find the values of p so that the equation 2cos^2x-(p+3)cosx+2(p-1)=0 h...

    Text Solution

    |

  3. A B C is a triangle, P is a point on A B a n dQ is a point on A C such...

    Text Solution

    |

  4. Solve sinx > -1/2

    Text Solution

    |

  5. Let ABC be a triangle having O and I as its circumcentre and incentre,...

    Text Solution

    |

  6. Which of the following is possible? (a) sintheta=5/3 (b) tantheta=1...

    Text Solution

    |

  7. Solve 2cos^2theta+sinthetalt=2, where pi/2lt=thetalt=(3pi)/2dot

    Text Solution

    |

  8. Evaluate the sine, cosine, and tangent of each of the following angles...

    Text Solution

    |

  9. Let A B C be a triangle with incenter I and inradius rdot Let D ,E ,a ...

    Text Solution

    |

  10. Prove that the least positive value of x , satisfying tanx=x+1, lies i...

    Text Solution

    |

  11. Find the reference angles corresponding to each of the following an...

    Text Solution

    |

  12. If Delta is the area of a triangle with side lengths a, b, c, then s...

    Text Solution

    |

  13. Suppose the point with coordinates (-12, 5) is on the terminal side of...

    Text Solution

    |

  14. If ma n dn(n > m) are positive integers, then find the number of solut...

    Text Solution

    |

  15. I(n) is the area of n sided refular polygon inscribed in a circle unit...

    Text Solution

    |

  16. Solve 3tan2x-4tan3x=tan^2 3xtan2xdot

    Text Solution

    |

  17. Assuming the distance of the earth from the moon to be 38,400 km and ...

    Text Solution

    |

  18. Let the angles A , Ba n dC of triangle A B C be in AdotPdot and let b ...

    Text Solution

    |

  19. Find the angle between the minute hand and the hour hand of a clock ...

    Text Solution

    |

  20. For which values of a does the equation 4sin(x+pi/3)cos(x-pi/6)=a^2+sq...

    Text Solution

    |