Home
Class 11
MATHS
Two rays emanate from the point A and fo...

Two rays emanate from the point A and form an angle of ` 43 ` with one another. Lines ` L_1, L_2, and L _3, `(no two of which are parallel) each form an isosceles triangle with the original rays. The largest rigle of the triangle formed by lines ` L_1, L_2, and L_3,` is -

Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ALLEN|Exercise All Questions|1 Videos

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise Do yourself -6|4 Videos

Similar Questions

Explore conceptually related problems

A L cm long wire is bent to form a triangle with one of it's angle as 60^(@) .Find the sides of the triangle for which area is largest.

For the given figure, which one is the mirror line, l_1 or l_2 ?

The complete set of values of the parameter alpha so that the point P(alpha, (1 +alpha^(2))^(-1)) does not lie outside the triangle formed by the lines L_(1): 15y = x +1, L_(2) : 78y = 118 - 23x and L_(3):y +2 = 0 is

A straight line L is perpendicular to the line 5x-y=1 . The area of the triangle formed by line L , and the coordinate axes is 5. Find the equation of line Ldot

A straight line L is perpendicular to the line 5x-y=1 . The area of the triangle formed by line L , and the coordinate axes is 5. Find the equation of line Ldot

A straight line L is perpendicular to the line 5x-y=1 . The area of the triangle formed by line L , and the coordinate axes is 5. Find the equation of line Ldot

Two lines l and m interset at the O and P is Point on a line n Passing through the point O such that P is equidistant from l and m. Prove that n is the bisectof the angle formed by l and m

Two parallel lines l and m are intersected by a transversal p . Show that the quadrilateral formed by the bisectors of interior angles is a rectangle.

lines L_1:ax+by+c=0 and L_2:lx+my+n=0 intersect at the point P and make a angle theta between each other. find the equation of a line L different from L_2 which passes through P and makes the same angle theta with L_1

Let L be the set of all lines in X Y=p l a n e and R be the relation in L defined as R={(L_1,L_2): L_1 is parallel to L_2}dot Show that R is an equivalence relation. Find the set of all lines related to the line y=2x+4.

ALLEN-SOLUTION AND PROPERTIES OF TRIANGLE-All Questions
  1. O is the circumcenter of A B Ca n dR1, R2, R3 are respectively, the r...

    Text Solution

    |

  2. In a triangle A B C ,\ (r1-r)(r2-r)(r3-r) is equal to 4R r^2 (b) (4a b...

    Text Solution

    |

  3. Two rays emanate from the point A and form an angle of 43 with one a...

    Text Solution

    |

  4. In a A B C ,\ A=pi/3\ a n d\ b : c=2: 3. If tanalpha=(sqrt(3))/5,\ o<...

    Text Solution

    |

  5. In A B C , on the side B C ,D and E are two points such that B D=D E=...

    Text Solution

    |

  6. In a A B C ,\ A D is the bisector of the angle A meeting B C at Ddot ...

    Text Solution

    |

  7. If p1, p2, p3, be the altitudes of a triangle ABC from the vertices A,...

    Text Solution

    |

  8. The value of (cosA)/(P1)+(cosB)/(P2)+(cosC)/(P3) is

    Text Solution

    |

  9. The minimum value of (b^2p1)/c+(c^2p2)/a+(a^2p3)/b\ is

    Text Solution

    |

  10. Find the value of a if the value of 2x^2+3x-a is equal to 6 when x=-2.

    Text Solution

    |

  11. Statement - I : If two sides of a triangle are 4 and 5, then its ar...

    Text Solution

    |

  12. Statement I perimeter of a regular pentagon inscribed in a circle with...

    Text Solution

    |

  13. Statement - I : The statement that circumradius and inradius of a t...

    Text Solution

    |

  14. Statement - I : In any triangle A B C , the minimum values of (r1+r2+r...

    Text Solution

    |

  15. Statement - I : Area of triangle having sides greater than 9 can be ...

    Text Solution

    |

  16. Let An be the area that is outside a n-sided regular polygon and insid...

    Text Solution

    |

  17. If n=4\ then Bn is equal to : R^2((4-pi))/2 (b) (R^2(4-pisqrt(2)))/2 ...

    Text Solution

    |

  18. (An)/(Bn) is equal to (theta=pi/n) (2theta-sin2theta)/(sin2theta-thet...

    Text Solution

    |

  19. Prove that : 4\ R\ sin AsinB\ sin C=acosA+b\ cos B+c cosCdot

    Text Solution

    |

  20. Prove that : acosB\ cos C+bcosCcosA+c\ cos AcosB=/R

    Text Solution

    |