Home
Class 11
MATHS
If sinA+sinB+sinC=(3sqrt3)/(2). then: De...

If `sinA+sinB+sinC=(3sqrt3)/(2).` then: `DeltaABC` is (a) isosceles (b) right angled (c) equilateral (d) obtuse angled

A

isosceles

B

right-angled

C

equilateral

D

obtuse-angled

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE

    MARVEL PUBLICATION|Exercise MCQs|101 Videos
  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|175 Videos

Similar Questions

Explore conceptually related problems

If sinA+ sin B + sinC=(3sqrt(3))/2 , then: triangleABC , is

In Delta ABC, if (b-c)/(b+c)cot((A)/(2))+(b+c)/(b-c)tan((A)/(2))=2, then Delta ABC is (A) Right angled (B) Acute angled (C) Equilateral (D) Obtuse angled

If in a /_\ABC, sin^2A+sin^2B+sin^2C=2, then /_\ is always a an (A) isosceles triangle (B) right angled triangle (C) acute angled triangle (D) obtuse angled triangle

If in a hat harr ABC,(cos A)/(a)=(cos B)/(b)=(cos C)/(c), then the triangle is: a.right angle b.isosceles angle c. equilateral angle d.obtuse angle

The complex numbers z_1 z_2 and z3 satisfying (z_1-z_3)/(z_2-z_3) =(1- i sqrt(3))/2 are the vertices of triangle which is (1) of area zero (2) right angled isosceles(3) equilateral (4) obtuse angled isosceles

In Delta ABC, if cos A+cos B+cos C=(3)/(2) then the triangle is (i) Isosceles (ii) equilateral (iii) Right Angled (iv) none pf these

If in triangle ABC,a^(2)+b^(2)+c^(2)-ac-sqrt(3)ab=0 ,then triangle is necessarily. 1) isosceles 2) right angled 3) obtuse angled 4) equilateral

Match the following : Measures of Triangle Type of Triangle (i) 3 sides of equal length (a) Scalene (ii) 2 sides of equal length (b) Isosceles right angled (iii) All sides are of different length (c) Obtuse angled (iv) 3 acute angles (d) Right angled (v) 1 right angle (e) Equilateral (vi) 1 obtuse angle (f) Acute angled (vii) 1 right angle with two sides of equal length (g) Isosceles

In ABC with usual notations,if r=1,r_(1)=7 and R=3, the ABC is equilateral (b) acute angled which is not equilateral obtuse angled (d) right angled

If sinA=sin^2Band2cos^2A=3cos^2B then the triangle ABC is right angled (b) obtuse angled (c)isosceles (d) equilateral

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE-MCQs
  1. If, in a DeltaABC,tanA=1andtanB=2, then: tanC= (a) 1 (b) 2 (c) 3 (d) 4

    Text Solution

    |

  2. If, in a DeltaABC,tanA=1andtanB=2, then: tanC=

    Text Solution

    |

  3. The value of sin^2 75^0-sin^2 15^0 is 1//2 b. sqrt(3)//2 c. 1 d. 0

    Text Solution

    |

  4. If DeltaABC is a right-angled at A, then: cos^2B+cos^2C=

    Text Solution

    |

  5. sin^6A+cos^6A+3sin^2A.cos^2A=

    Text Solution

    |

  6. If cos(A-B)=3/5and tan A tanB=2, then

    Text Solution

    |

  7. If A, B, C, D be the angles of acyclic quadrilateral, show that : cosA...

    Text Solution

    |

  8. If sin.alpha/2+cos.alpha/2=1.4, then: sinalpha=

    Text Solution

    |

  9. If tanalpha+cotalpha=m then value of tan^4alpha+cot^4alpha is

    Text Solution

    |

  10. If cos theta+cos phi=a and sin theta - sin phi=b, then: 2cos(theta + p...

    Text Solution

    |

  11. If sinx+cosecx=2, then, for all n in N, the value of: sin^nx+cosec^nx=...

    Text Solution

    |

  12. If sinA+sinB+sinC=(3sqrt3)/(2). then: DeltaABC is (a) isosceles (b) ri...

    Text Solution

    |

  13. In triangle ABC, cos^2A + cos^2B - cos^2C = 1, then the triangle is ne...

    Text Solution

    |

  14. If tanx=b//a, then: acos2x+bsin2x=

    Text Solution

    |

  15. (sin^(2)3A)/(sin^2A)-(cos^(2)3A)/(cos^2A)=

    Text Solution

    |

  16. If t a ntheta1t a ntheta2=k , then ("cos"(theta1-theta2))/("cos"(theta...

    Text Solution

    |

  17. tan 5x.tan3x.tan2x=

    Text Solution

    |

  18. If a+btantheta=secthetaandb-atantheta=2sectheta, then: a^2+b^2=

    Text Solution

    |

  19. If cos25^0+sin25^0=p , then cos50^0 is sqrt(2-p^2) (b) -sqrt(2-p^2) ...

    Text Solution

    |

  20. If tan(x+y)=33 and x= tan^(-1) 3 then y will be

    Text Solution

    |