Home
Class 12
MATHS
If the sides of a Delta ABC are in AP an...

If the sides of a `Delta ABC` are in AP and a is the smallest sie, then cos A equals

A

`(3c-4b)/(2b)`

B

`(3c-4b)/(2c)`

C

`(4c-3b)/(2b)`

D

`(4c-3b)/(2c)`

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 Exercise (More Than One Correct Option Type Questions)|24 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|15 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise PROPERTIES AND SOLUTIONS OF TRIANGLES EXERSISE 1: SINGLE OPTION CORRECT TYPE QUESTIONS|1 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

If the sides of a Delta ABC are in AP and a is the smallest side, then cos A equals

If the sides of a triangle ABC are in AP and 'a' is the smallest side, then express cos A in term of b and c.

If the sides of a triangle are in A.P., and its greatest angle exceeds the least angle by alpha , show that the sides are in the ratio 1+x :1:1-x , , where x = sqrt((1- cos alpha)/(7 - cos alpha))

If the sides of a right angled triangle are in A.P then the sines of the acute angles are

In Fig, the line segment XY is parallel to side AC of Delta ABC and it divides the triangle into two parts of equal areas. Find the ratio (AX)/(AB) .

The sides of a triangle are in A.P. and its area is (3)/(5) th of an equilateral triangle of the same perimeter. Find the greatest angle of the triangle

The sides of a triangle are in AP. If the angles A and C are the greatest and smallest angle respectively, then 4 (1- cos A) (1-cos C) is equal to

If the median AD of a triangle ABC makes an angle theta with side, AB, then sin(A-theta) is equal to

If ‘a’ is the length of one of the sides of an equilateral triangle ABC, baseBC lies on x-axis and vertex B is at the origin, find the coordinates,of the vertices of the triangle ABC.

P and Q are respectively the midpoints of sides AB and BC or a triangle ABC and R is the mid-point of AP, show ar(RQC) = 3/8 ar(ABC).

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
  1. If the perimeter of the triangle formed by feet of altitudes of the t...

    Text Solution

    |

  2. In a triangle with one angle (2pi)/(3), the lengths of the sides form ...

    Text Solution

    |

  3. If the sides of a Delta ABC are in AP and a is the smallest sie, then ...

    Text Solution

    |

  4. If p is the produce of the since of angles of a triange, and q the pro...

    Text Solution

    |

  5. Let C be incircle of DeltaABC. If the tangents of lengths t(1),t(2) an...

    Text Solution

    |

  6. If the sine of the angles of DeltaABC satisfy the equation c^(3)x^(3)-...

    Text Solution

    |

  7. In triangle ABC, medians AD and CE are drawn AD = 5, angle DAC = pi//8...

    Text Solution

    |

  8. In a triangle ABC, a ge b ge c. If (a^(3)+b^(3)+c^(3))/(sin ^(3)A +s...

    Text Solution

    |

  9. Solve the following system of inequalities graphically 2x + 4y le 8 , ...

    Text Solution

    |

  10. In a delta ABC, a,c, A are given and b(1) , b(2) are two values of thi...

    Text Solution

    |

  11. In a triangle ABC, if cot A =(x^(3)+x^(2) +x)^(1/2), cot B= (x+x^(-1)+...

    Text Solution

    |

  12. In a Delta ABC, a,b,A are given and c(1), c(2) are two values of the ...

    Text Solution

    |

  13. In Delta ABC, if a = 10 and b cot B + c cot C = 2(r + R) then the maxi...

    Text Solution

    |

  14. Find the second order derivative of the function x^3 + 4x^2 +2

    Text Solution

    |

  15. Let a,b,c be the sides of a triangle. Now two of them are equal to lam...

    Text Solution

    |

  16. In triangle A B C ,ifPdotQ ,R divides sidesB C ,A C , and A B , respec...

    Text Solution

    |

  17. Let f (x+y)=f(x). f(y) for all x and y f(1)=2 If in a triangle ABC, a ...

    Text Solution

    |

  18. Differentiate the following function w.r.t x sin^3x+cos^6x

    Text Solution

    |

  19. If tangents PA and PB from a point to a circle with centre O are incli...

    Text Solution

    |

  20. Differentiate the following w.r.t x (3x^2-9x+5)^9

    Text Solution

    |