Home
Class 12
MATHS
If the angle A ,Ba n dC of a triangle ar...

If the angle `A ,Ba n dC` of a triangle are in an arithmetic propression and if `a , ba n dc` denote the lengths of the sides opposite to `A ,Ba n dC` respectively, then the value of the expression `a/csin2C+c/asin2A` is (a) `1/2` (b) `(sqrt(3))/2` (c) `1` (d) `sqrt(3)`

A

`1/2`

B

`(sqrt3)/(2)`

C

1

D

`sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise PROPERTIES AND SOLUTIONS OF TRIANGLES EXERCISE 7 : SUBJECTIVE TYPE QUESTIONS|18 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

  • SEQUENCES AND SERIES

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

Similar Questions

Explore conceptually related problems

Let A B C be a triangle such that /_A C B=pi/6 and let a , b and c denote the lengths of the side opposite to A , B ,and C respectively. The value(s) of x for which a=x^2+x+1,b=x^2-1,\and\ c=2x+1 is(are) -(2+sqrt(3)) (b) 1+sqrt(3) (c) 2+sqrt(3) (d) 4sqrt(3)

Consider a Delta ABC and let a,b, and c denote the leghts of the sides opposite to vertices A,B and C, respectively. Suppose a=2,b =3, c=4 and H be the orthocentre. Find 15(HA)^(2).

If the angle opf a triangle are in the ratio 1:2:3, then show that the sides opposite to the respective angle are in the ratio 1: sqrt3:2.

Let the angles A, B, C of triangle ABC be in A.P. and let b:c= sqrt3:sqrt2 . Then angle A is :

A triangle A B C with fixed base B C , the vertex A moves such that cosB+cosC=4sin^2(A/2)dot If a ,b and c , denote the length of the sides of the triangle opposite to the angles A , B ,a n dC , respectively, then (a) b+c=4a (b) b+c=2a (c)the locus of point A is an ellipse (d)the locus of point A is a pair of straight lines

Two medians drawn from the acute angles of a right angled triangle intersect at an angle pi/6dot If the length of the hypotenuse of the triangle is 3u n i t s , then the area of the triangle (in sq. units) is sqrt(3) (b) 3 (c) sqrt(2) (d) 9

The sides A Ba n dA C of a triangle A B C are respectively 2x+3y=29a n dx+2y=16 respectively. If the mid-point of B Ci s(5,6) then find the equation of B Cdot

Consider a triangle A B C and let a , b and c denote the lengths of the sides opposite to vertices A , B ,and C , respectively. Suppose a=6,b=10 , and the area of triangle is 15sqrt(3)dot If /_A C B is obtuse and if r denotes the radius of the incircle of the triangle, then the value of r^2 is

perpendiculars are drawn from the angles A , Ba n dC of an acute-angled triangle on the opposite sides, and produced to meet the circumscribing circle. If these produced parts are alpha,beta,gamma , respectively, then show that a/alpha+b/beta+c/gamma=2(tanA+tanB+t a nC)dot

A triangle A B C is inscribed in a circle with centre at O , The lines A O ,B Oa n dC O meet the opposite sides at D , E ,a n dF , respectively. Prove that 1/(A D)+1/(B E)+1/(C F)=(acosA+bcosB+ccosC)/triangle

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. In a triangle the sum of two sides is x and the product of the same is...

    Text Solution

    |

  2. Consider a triangle A B C and let a , b and c denote the lengths of th...

    Text Solution

    |

  3. Solution of differential equation 2xy dy / dx = x^2 + 3y^2 is .

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. If in a DeltaABC, the altitudes from the vertices A, B, C on opposite ...

    Text Solution

    |