Home
Class 12
MATHS
In a DeltaABC, AB=AC,P and Q are points ...

In a `DeltaABC, AB=AC,P and Q` are points on AC and AB respectively such that `CB=BP=PQ=QA.` if `angle AQP=theta, ` then `tan^(2)theta` is a root of the equation

A

`y^(3)+ 21y^(2)-35y-12=0`

B

`y^(3)-21y^(2) +35y-12=0`

C

`y^(3) -21y^(2) +35y-7=0`

D

`12y^(3)-35y^(2)+35y-12=0`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise SOLVED EXAMPLES|1 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Sesssion 1|20 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|51 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

In DeltaABC , if L and M are the points on AB and AC, respectively such that LM || BC . Prove that ar (DeltaLOB) = ar (DeltaMOC) .

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 figure A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC || QR.

In the given figure A, B and C are points on OP, OQ and OR respectively such that AB||PQ and BC||QR. Show that AC||PR.

In Delta ABC, AB = AC and D is a point an side AC such that AD = BD = BC . Show that : angle ADB = 108 ^(@)

ABCD is a square. P, Q and Rare the points on AB, BC and CD respectively, such that AP = BQ = CR. Prove that: PQ = QR

In DeltaABC,AB=AC and the bisectors of angles B and C intersect at point O. Prove that BO=OC

In a DeltaABC, P and Q are the mid-points of AB and AC respectively. If O is the circumcentre of the Delta ABC, then the value of (("Area of "Delta ABC)/("Area of " Delta OPQ)) cot B cot C equal to

In DeltaABC, AB = AC and D is a point in BC so that BD=CD . Prove that AD bisects angleBAC .

Two line segment AB and AC include an angle of 60^(@) , where AB=5 cm and AC= 7 cm. Locate points P and Q on AB and AC, respectively such that AP=(3)/(4)AB and AQ=(1)/(4)AC . Join P and Q and measure the length PQ.

ARIHANT MATHS ENGLISH-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. In a DeltaABC, AB=AC,P and Q are points on AC and AB respectively such...

    Text Solution

    |

  2. In a triangle XYZ, let x, y, z be the lengths of sides opposite to the...

    Text Solution

    |

  3. In a triangle the sum of two sides is x and the product of the same is...

    Text Solution

    |

  4. Consider a triangle A B C and let a , ba n dc denote the lengths of th...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. Let PQR be a triangle of area Delta with a = 2, b = 7//2, and c = 5//2...

    Text Solution

    |

  7. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

    Text Solution

    |

  8. Let A B C be a triangle such that /A C B=pi/6 and let a , b and c deno...

    Text Solution

    |

  9. A triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  10. Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...

    Text Solution

    |

  11. A straight line through the vertex P of a triangle P Q R intersects th...

    Text Solution

    |

  12. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  13. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  14. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  15. Internal bisector of /A of triangle ABC meets side BC at D. A line dra...

    Text Solution

    |

  16. One angle of an isosceles triangle is 120^0 and the radius of its incr...

    Text Solution

    |

  17. In Delta ABC, which one is true among the following ?

    Text Solution

    |

  18. Let a vertical tower A B have its end A on the level ground. Let C be ...

    Text Solution

    |

  19. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

    Text Solution

    |

  20. For a regular polygon, let r and R be the radii of the inscribed and t...

    Text Solution

    |

  21. In triangle A B C , let /c=pi/2dot If r is the inradius and R is circu...

    Text Solution

    |