Home
Class 11
MATHS
If sinA=sin^2Ba n d2cos^2A=3cos^2B then...

If `sinA=sin^2Ba n d2cos^2A=3cos^2B` then the triangle `A B C` is right angled (b) obtuse angled (c)isosceles (d) equilateral

Text Solution

AI Generated Solution

To solve the problem, we will follow the steps outlined in the video transcript and derive the necessary conclusions about triangle ABC. ### Step-by-Step Solution: 1. **Given Equations**: We start with the two equations given in the problem: \[ \sin A = \sin^2 B \quad \text{(1)} ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If sinA=sin^2B and 2cos^2A=3cos^2B then the triangle ABC is

If in a Delta A B C ,cos^2A+cos^2B+cos^2C=1, prove that the triangle is right angled.

In triangle ABC if 2sin^(2)C=2+cos2A+cos2B , then prove that triangle is right angled.

In a triangle A B C , the altitude from A is not less than B C andthe altitude from B is not less than A C . (a)The triangle is right angled (b) isosceles obtuse angled (d) equilateral

If the sines of the angles A and B of a triangle ABC satisfy the equation c^2x^2-c(a+b)x+a b=0 , then the triangle (a) is acute angled (b) is right angled (c) is obtuse angled (d) satisfies the equation sinA+cosA ((a+b))/c

If all the vertices of a triangle have integral coordinates, then the triangle may be (a) right-angle (b) equilateral (c) isosceles (d) none of these

In a Delta A B C ,\ ifsin^2A+sin^2B=sin^2C , show that the triangle is right angled.

In a triangle A B C\ a : b : c=sqrt(3)\ :1\ :\ 1, then the triangle is- right angled triangle (b) abtuse angled triangle acute angled triangle, which is not isosceles Equilateral triangle

If one angle of a triangle is equal to the sum of the other two angles, then the triangle is (a) an isosceles triangle (b) an obtuse triangle (c) an equilateral triangle (d) a right triangle

If in a triangle (1-(r_1)/(r_2))(1-(r_1)/(r_3))=2 then the triangle is right angled (b) isosceles equilateral (d) none of these

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. In the given figure, what is the radius of the inscribed circle? 3/2 ...

    Text Solution

    |

  2. Solve tan3theta=-1

    Text Solution

    |

  3. If sinA=sin^2Ba n d2cos^2A=3cos^2B then the triangle A B C is right...

    Text Solution

    |

  4. In triangle A B C , if cotA *cotC=1/2a n dcot B* cotC=1/(18), then t...

    Text Solution

    |

  5. If in a triangle A B C ,(1+cosA)/a+(1+cosB)/b+(1+cosC)/c =(k^2(1+cosA...

    Text Solution

    |

  6. Solve tantheta+tan2theta+sqrt(3)tanthetatan2theta=sqrt(3)

    Text Solution

    |

  7. The product of the sines of the angles of a triangle is p and the prod...

    Text Solution

    |

  8. If (sinx)/a=(cosx)/b=(tanx)/c=k , then b c+1/(c k)+(a k)/(1+b k) is eq...

    Text Solution

    |

  9. In A B C ,a=5,b=12 ,c=90^0a n dD is a point on A B so that /B C D=45^...

    Text Solution

    |

  10. Solve tan5theta=cot2theta

    Text Solution

    |

  11. If x+y+z=pi/2, then prove that |[sinx,siny,sinz],[cosx,cosy,cosz],[c...

    Text Solution

    |

  12. In a right-angled isosceles triangle, the ratio of the circumradius an...

    Text Solution

    |

  13. If sinx+cos e cx=2, then sin^n x+cos e c^n x is equal to 2 (b) 2^n ...

    Text Solution

    |

  14. Solve 2sin^(2)x-5sinxcosx-8cos^2x=-2

    Text Solution

    |

  15. Prove that: sin10^0sin30^0sin50^0sin70^0=1/(16)dot

    Text Solution

    |

  16. In A B C ,(sinA(a-bcosC))/(sinC(c-bcosA) = (a) -2 (b) -1 (c) 0 (d...

    Text Solution

    |

  17. If sinx+sin y+sinz+sinw=-4, then the value of sin^(400)x+sin^(300)y+s...

    Text Solution

    |

  18. Prove that cos20^0cos40^0cos60^0cos80^0=1/(16)dot

    Text Solution

    |

  19. Find common roots of the equations 2sin^2x+sin^2 2x=2a n dsin2x+cos2x=...

    Text Solution

    |

  20. The sides of a triangle are in A.P. and its area is 3/5t h of the an e...

    Text Solution

    |