Home
Class 12
MATHS
If aa n db are positive quantities such ...

If `aa n db` are positive quantities such that `a > b ,` the minimum value of `as e ctheta-bt a ntheta` is (a) `2a b` (b) `sqrt(a^2-b^2)` (c) `a-b` (d) `sqrt(a^2+b^2)`

Text Solution

Verified by Experts

The correct Answer is:
Minimum value is `sqrt(a^(2)-b^(2))`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|22 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

If asinx+bcos(x+theta)+bcos(x-theta)=d , then the minimum value of |costheta| is equal to (a) 1/(2|b|)sqrt(d^2-a^2) (b) 1/(2|a|)sqrt(d^2-a^2) 1/(2|d|)sqrt(d^2-a^2) (d) none of these

Prove that for x> -c , the minimum value of f(x) = (a+x) (b+x)/(c+x) is 2sqrt((c-a)(c-b)) + a + b - 2c , given (c-a) (c-b) > 0 .

Evaluate: int_sqrt((3a^2+b^2)/2)^sqrt((a^2+b^2)/2) (x*dx)/(sqrt((x^2-a^2)(b^2-x^2)))

If a,b,c,d are distinct integers in an A.P. such that d=a^(2)+b^(2)+c^(2) , then find the value of a+b+c+d.

If acos theta-b sin theta=c , show that asin theta+b cos theta=+-sqrt(a^2+b^2-c^2dot)

If a and b are rational numbes (2+sqrt3)/(2-sqrt3)=a+bsqrt3 find the values of a and b.

If (a , b) is the midpoint of a chord passing through the vertex of the parabola y^2=4x , then (a) a=2b (b) a^2=2b (c) a^2=2b (d) 2a=b^2

If [a b c]=2 , then find the value of [(a+2b-c)(a-b)(a-b-c)] .

Area of the quadrilateral formed with the foci of the hyperbola x^2/a^2-y^2/b^2=1 and x^2/a^2-y^2/b^2=-1 (a) 4(a^2+b^2) (b) 2(a^2+b^2) (c) (a^2+b^2) (d) 1/2(a^2+b^2)

If a,b,c,d are the side of a quadrilateral, then find the the minimum value of (a^(2)+b^(2)+c^(2))/(d ^(2))

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Subjective Type Questions)
  1. If alpha, beta, gamma are the roots of the cubic x^(3)-px^(2)+qx-r=0 ...

    Text Solution

    |

  2. The set of values of a for which the equation Sin^4 x + Cos^4 x = a ha...

    Text Solution

    |

  3. If aa n db are positive quantities such that a > b , the minimum value...

    Text Solution

    |

  4. If alpha+beta+gamma=2pi, then show that tan.alpha/2 + tan.beta/2 + tan...

    Text Solution

    |

  5. Eliminate theta from the equations tan(n theta+alpha)-tan(n theta+b...

    Text Solution

    |

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

    Text Solution

    |

  7. Eliminate theta from the equations tan(n theta+alpha)-tan(n theta+b...

    Text Solution

    |

  8. lf cos^2 alpha -sin^2 alpha = tan^2 beta, then show that tan^2 alpha...

    Text Solution

    |

  9. If A, B, C are the angle of a triangle and |(sinA,sinB,sinC),(cosA,...

    Text Solution

    |

  10. In any DeltaABC, prove that Sigma (sqrt(sinA))/(sqrt(sinB)+sqrt(sinC...

    Text Solution

    |

  11. Find all value of theta which satisfy, sin ( 3 theta + alpha ) + si...

    Text Solution

    |

  12. If the quadratic equation , 4^(sec^(2)alpha) x^(2) + 2x + (beta^(2)-...

    Text Solution

    |

  13. If 2costheta=x+1/x, prove that 2cos3theta=x^3+1/x^3

    Text Solution

    |

  14. If (cos theta(1))/(cos theta(2))+(sin theta(1))/(sin theta(2))=(cos th...

    Text Solution

    |

  15. Prove that sum(k=1)^(n-1) ""^(n)C(k)[cos k x. cos (n+k)x+sin(n-k)x.s...

    Text Solution

    |

  16. Solve sin 2x gt sqrt(2) sin^(2) x+ (2-sqrt(2))cos^(2)x

    Text Solution

    |

  17. The number of solutions of the equation cos[x]=e^(2x-1), x in [0, 2pi]...

    Text Solution

    |

  18. Prove that: sum(r=0)^(n) 3^( r) ""^(n)C(r) = 4^(n).

    Text Solution

    |

  19. Resolve Z^5+ 1 into linear & quadratic factors with real coefficients...

    Text Solution

    |

  20. Prove that the roots of the equation 8x^(3)-4x^(2)-4x+1=0 " are " co...

    Text Solution

    |