Home
Class 11
MATHS
If the sines of the angles A and B of a ...

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`

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

If the since of the angles A and B of a triangle ABCsatisfy the equation c^2x^2-c(a+b)x+ab=0, then the triangle

If tan of angles A,B,C are the solutions of the equations tan^3x+3ktan^2x-3tanx+k=0 , then the triangle ABC is

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

The sides of triangle ABC satisfy the relations a + b - c= 2 and 2ab -c^(2) =4 , then the square of the area of triangle is ______

If in a triangle ABC, cos^(2)A + cos^(2)B + cos^(2)C =1 , then show that the triangle is right angled.

If in a triangle ABC, a=3, b=5 and c=7, show that the triangle is obtuse angled.

The sides of A B C satisfy the equation 2a^2+4b^2+c^2=4a b+2ac Then a) the triangle is isosceles b) the triangle is obtuse c) B=cos^(-1)(7/8) d) A=cos^(-1)(1/4)

If A, B, C are the angles of a triangle then tan ((B+C)/2)=

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

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Let P Q and R S be tangent at the extremities of the diameter P R of...

    Text Solution

    |

  2. The number of solutions of 12cos^3x-7cos^2x+4cosx=9 is (a) 0 (b) 2 (...

    Text Solution

    |

  3. If the sines of the angles A and B of a triangle ABC satisfy the equ...

    Text Solution

    |

  4. tan(/B A O)=3, then find the ratio B C : C Adot

    Text Solution

    |

  5. The sum of all the solutions of cottheta=sin2theta(theta!=npi, n inte...

    Text Solution

    |

  6. In triangle, A B Cif2a^2b^2+2b^2c^2=a^4+b^4+c^4, then angle B is equa...

    Text Solution

    |

  7. If angle C of triangle ABC is 90^0, then prove that tanA+tanB=(c^2)/(a...

    Text Solution

    |

  8. The system of equations tanx=acotx ,tan2x=bcosy (a)cannot have a so...

    Text Solution

    |

  9. The sides of A B C satisfy the equation 2a^2+4b^2+c^2=4a b+2ac Then a...

    Text Solution

    |

  10. By geometrical interpretation, prove that tan(alpha+beta)=(tanalph...

    Text Solution

    |

  11. The equation 2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2la...

    Text Solution

    |

  12. If sides of triangle A B C are a , ba n dc such that 2b=a+c then b/c >...

    Text Solution

    |

  13. By geometrical interpretation, prove that (i) sin(alpha+beta)=si...

    Text Solution

    |

  14. If theta=pi/(2^n+1) , prove that: 2^ncosthetacos2thetacos2^2 cos2^(n-1...

    Text Solution

    |

  15. Let f(x)=cos(a1+x)+1/2cos(a2+x)+1/(2^2)cos(a3+x)+ ........+ 1/(2^(n-1)...

    Text Solution

    |

  16. Three circle touch one another externally. The tangents at their point...

    Text Solution

    |

  17. Prove that tan20^0tan40^0tan80^0=tan60^0

    Text Solution

    |

  18. If cottheta+tantheta=x and sectheta-costheta=y , prove that (x^2y)^(...

    Text Solution

    |

  19. The solution of the system of equations sinxsiny=(sqrt(3))/4,cosxcosy=...

    Text Solution

    |

  20. Find the least value of sec A+secB+secC in an acute angled triangle

    Text Solution

    |