Home
Class 12
MATHS
Let ABCD be a cyclic quadrilateral then ...

Let ABCD be a cyclic quadrilateral then
Statement:1 sinA + sinB+ sinC + sinD=0
and Statement:2 cosA + cosB + cosC + cosD=0

A

Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for statement-17

B

Statement-1 is true, Statement-2 is true, Statement-2 is not a correct expanation for statement-17

C

Statement-1 is True, Statement-2 is false

D

Statement-1 is False, Statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section -G (Integer Answer type questions)|18 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section -H (Multiple True-false, type Questions)|10 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section D (Linked Comprehension Type Questions)|24 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos
  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

If ABCD is a cyclic quadrilateral, then find the value of sinA + sinB -sinC - sinD

If ABCD is a cyclic quadrilateral then what is sinA+sinB-sinC-sinD equal to ?

if ABCD is a cyclic quadrilateral, then find the value of cosA cosB - cos C cos D.

If ABCD is a cyclic quadrilateral, then the value of cosA-cosB+cosC-cosD is equal to

In a cyclic quadrilateral ABCD, then find cosA+cosB+cosC+cosD=?

If A, B, C, D be the angles of acyclic quadrilateral, show that : cosA +cosB+cosC+cosD=0 .

If ABCD is a cyclic quadrilateral such that 12tanA-5=0 and 5cosB+3=0 then tanC+tanD is equal to :

If ABC D is a cyclic quadrilateral, then find the value of sinA+sinB-sinC-sinD If A+B+C=(pi)/(2) , then find the value of tanA tanB+tanBtanC+tanC tanA

Statement I if A,B,C,D are angles of a cyclic quadrilateral then sum sin A=0. Statement II If A, B, C, D are angles of cyclic quadrilateral then, sum cos A=0.

The angles A, B,C, D of a quadrilateral ABCD are in the ratio 1:2:4:5. Consider the following statements : 1. ABCD is a cyclic quadrilateral. 2. sin (B - A) = cos (D - C). Which of the above statements is/are correct ?

AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Section E (Assertion-Reason Types Questions)
  1. Statement-1: sinx = siny rArr x =y. and Statement-2: sinx = siny hav...

    Text Solution

    |

  2. Statement-1: f(x ) = log( cosx)sinx is well defined in (0,pi/2). and ...

    Text Solution

    |

  3. Statement:1 : Minimum value of sinx + " cosec "x is 2 for all x in (0,...

    Text Solution

    |

  4. Statement:1 If cos(A+B)sin( C +D) = cos(A-B) sin(C-D), then the values...

    Text Solution

    |

  5. Statement:1 if cos theta=1/7 and cos phi = 13/14 where theta and phi b...

    Text Solution

    |

  6. Statement:1: The value of k for which (costheta- sintheta)^(2) + k sin...

    Text Solution

    |

  7. Statement:1 If theta is acute and 1+ costheta = k, then sin (theta/2) ...

    Text Solution

    |

  8. Statement-1: In an acute angled triangle minimum value of tan alpha + ...

    Text Solution

    |

  9. Statement-1: The equation 3 cosx + 4sinx =6 has no solution. and Sta...

    Text Solution

    |

  10. Statement-1: The general solution of 2^(sinx) + 2^( cosx)= 2^(1-1/sqrt...

    Text Solution

    |

  11. Statement:1: If sum (r=1)^(n) sin(x(r)) = n, then sum(n=1)^(n) cot (x(...

    Text Solution

    |

  12. Statement:1 The number of real solution of the equation sinx = 4^(x) +...

    Text Solution

    |

  13. Statement-1: The general solution of tan 5theta = cot 2theta is theta ...

    Text Solution

    |

  14. Statement-1: If triangleABC, 3bc=(a-b+c)(a+b-c) then A=120^(@). and ...

    Text Solution

    |

  15. ABCD is a quadrilateral in which a circle is inscribed. Statement:1 ...

    Text Solution

    |

  16. Statement:1 In triangleABC, if a lt b sinA, then the triangle is possi...

    Text Solution

    |

  17. Let ABCD be a cyclic quadrilateral then Statement:1 sinA + sinB+ sin...

    Text Solution

    |

  18. Statement I In a triangle ABC if tan A: tan B: tan C=1 :2:3, then A=...

    Text Solution

    |