Home
Class 11
MATHS
In a triangle A B CifB C=1 and AC=2, the...

In a triangle `A B CifB C=1 and AC=2,` then what is the maximum possible value of angle `A ?`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

In a triangle A B CifB C=1a n dA C=2, then what is the maximum possible value of angle A ?

In a triangle ABC , the sides a , b , c are in G.P., then the maximum value of angleB is

In any triangle ABC, if sin A , sin B, sin C are in AP, then the maximum value of tan ""B/2 is

Suppose a, b are integers and a + b is a root of x^2 + ax + b = 0 . What is the maximum possible values of b^2 ?

A,B,C and D are four distinct positive integers lying between 1 and 5 both inclusive ,such that c +D = A and D - C = B . What is the maximum possible value of (A + B+ C+D) if none of the numbers is 4 ?

In triangle A B C , if angle is 90^0 and the area of triangle is 30 sqdot units, then the minimum possible value of the hypotenuse c is equal to (a) 30sqrt(2) (b) 60sqrt(2) (c) 120sqrt(2) (d) 2sqrt(30)

In a triangle ABC, 2 ac sin (1/2(A-B + C)) =

In an acute angled triangle A B C , if tan(A+B-C)=1 and ,sec(B+C-A)=2, find the value of A ,Ba n dCdot

If triangle ABC is right angled at C, then the value of sec (A+B) is

Integers a, b, c satisfy a + b - c = 1 and a^2 + b^2 - c^2 = -1 . What is the sum of all possible values of a^(2) + b^(2) + c^(2) ?

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If in A B C ,A=pi/7,B=(2pi)/7,C=(4pi)/7 then a^2+b^2+c^2 must be R^2 ...

    Text Solution

    |

  2. If x in (0,2pi)a n dy in (0,2pi) , then find the number of distinct or...

    Text Solution

    |

  3. In a triangle A B CifB C=1 and AC=2, then what is the maximum possible...

    Text Solution

    |

  4. Find the number of roots of the equation 16sec^3theta-12tan^2theta-4se...

    Text Solution

    |

  5. If a^2, b^2,c^2 are in A.P., then prove that tanA ,tanB ,tanC are in H...

    Text Solution

    |

  6. If 2tan^2x-5secx=1 for exactly seven distinct value of x in [0,(npi)/2...

    Text Solution

    |

  7. If an a triangle A B C , b=3 c, a n d C-B=90^0, then find the value o...

    Text Solution

    |

  8. The real roots of the equation cos^7x+sin^4x=1 in the interval (-pi,pi...

    Text Solution

    |

  9. If the base angles of triangle are ((22)/(12))^@ and (112 1/2)^@ , th...

    Text Solution

    |

  10. The general solution of the trigonometric equation sinx+cosx=1 is give...

    Text Solution

    |

  11. Prove that (a^2sin(B-C))/(sinb+sinC)+(b^2"sin"(C-A))/(sinC+sinA)+(c^2"...

    Text Solution

    |

  12. The equation 2cos^2 (x/2)sin^2x=x^2+x^(-2);0

    Text Solution

    |

  13. The perimeter of a triangle ABC is saix times the arithmetic mean of ...

    Text Solution

    |

  14. One of the general solutions of 4sinthetasin2thetasin4theta=sin3theta ...

    Text Solution

    |

  15. If A=75^@,B=45^@, then prove that b+csqrt(2)=2a

    Text Solution

    |

  16. The general solution of the equation 8cosxcos2xcos4x=(sin6x)/(sin x) ...

    Text Solution

    |

  17. In any triangle. if(a^2-b^2)/(a^2+b^2)=("sin"(A-B))/("sin"(A+B)) , the...

    Text Solution

    |

  18. (sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2th...

    Text Solution

    |

  19. ABCD is a trapezium such that A B||C Da n dC B is perpendicular to the...

    Text Solution

    |

  20. For 0ltx ,yltpi,the number of ordered pairs (x, y) satisfying system e...

    Text Solution

    |