Home
Class 12
MATHS
Statement I In a DeltaABC, sum (cos ^(2...

Statement I In `a DeltaABC, sum (cos ^(2)""(A)/(2))/(a )` has the value equal to `(s^(2))/(abc).`
Statement II in `a Delta ABC, cos ""A/2=sqrt(((s-b)(s-c))/(bc))`
`cos ""(beta)/(2)=sqrt(((s-a) (s-c))/(ac)), cos ""c/2= sqrt(((s-a)(s-b))/(ab))`

A

Statement I is True, Statement II is True, Statement II is a correct explanation for Statement I.

B

Statement I is True, Statement II is True, Statement II is NOT a correct explanation for Statement I.

C

Statement I is True, Statement II is False.

D

Statement I is False, Statement II is True.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 1|20 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 2|19 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

In a Delta ABC,a(cos^(2)B+cos^(2)C)+cos A(c cos C+b cos B) is equal to

If Delta ABC,quad if (cos A)/(2)=sqrt((b+c)/(2c)), then

In Delta ABC, a^(2)(s-a)+b^(2)(s-b)+c^(2)(s-c)=

In a Delta ABC,(cos A cos B)/(ab)+(cos B cos C)/(bc)+(cos C cos A)/(ca) is equal to

Statement I If the sides of a triangle are 13, 14 15 then the radius of in circle =4 Statement II In a DeltaABC, Delta = sqrt(s (s-a) (s-b) (s-c)) where s=(a+b+c)/(2) and r =(Delta)/(s)

In DeltaABC , prove that: (bcos^(2)C)/2+(c cos^(2)B)/2=s

In DeltaABC if 2s =a +b+c and (s-b)(s-c)=x" sin"^(2)(A)/(2) ,then the value of x is

In a Delta ABC,a(cos^(2)B+cos^(2)C)+cos A(c cos C+b cos B)=

In Delta ABC , if : 2s = a + b + c , then: (s(s - a))/(bc) =

Statement I If in a triangle ABC sin ^(2) A+sin ^(2)B+sin ^(2)C=2, then one of the angle must be 90^(@). Statement II In any triangles ABC cos 2A+ cos 2B+cos 2C=-1-4 cos A cos B cos C

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Statement I In a DeltaABC, sum (cos ^(2)""(A)/(2))/(a ) has the value...

    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. In a triangle PQR, P is the largest angle and cosP=1/3. Further the in...

    Text Solution

    |

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

    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 , ba n dc 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 PQR intersects the ...

    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. Given an isosceles triangle, whose one angle is-2pi/3 and the radius o...

    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 | CD. If ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |