Home
Class 12
MATHS
The range of values of lambda,(lambda>0)...

The range of values of `lambda,(lambda>0)` such that the angle `theta` between the pair of tangents drawn from `(lambda,0)` to the circle `x^2+y^2=4` lies in `(pi/2,(2pi)/3)` is (a) `(4/(sqrt(3)),2/(sqrt(2)))` (b) `(0,sqrt(2))` (c) `(1,2)` (d) none of these

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The range of values of a such that the angle theta between the pair of tangents drawn from (a,0) to the circle x^2+y^2=1 satisfies pi/2

The exhaustive range of value of a such that the angle between the pair of tangents drawn from (a,a) to the circle x^2 +y^2 -2x -2y -6 =0 lies in the range (pi/3,pi) is

Find the angle between the pair of tangents drawn from (1, 3) to the circle x^(2) + y^(2) - 2 x + 4y - 11 = 0

The value of ("lim")_(xvec2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)i s (a) 1/(8sqrt(3)) (b) 1/(4sqrt(3)) (c) 0 (d) none of these

If tangents P Q and P R are drawn from a point on the circle x^2+y^2=25 to the ellipse (x^2)/16+(y^2)/(b^2)=1,(b (a) (sqrt(5))/4 (b) (sqrt(7))/4 (c) (sqrt(7))/2 (d) (sqrt(5))/3

An infinite number of tangents can be drawn from (1,2) to the circle x^2+y^2-2x-4y+lambda=0 . Then find the value of lambda .

sqrt(3)int_0^pi dx/(1+2sin^2x)= (A) -pi (B) 0 (C) pi (D) none of these

The value of the definite integral int_0^(pi/2)sqrt(tanx)dx is sqrt(2)pi (b) pi/(sqrt(2)) 2sqrt(2)pi (d) pi/(2sqrt(2))

If the tangents from the point (lambda, 3) to the ellipse x^2/9+y^2/4=1 are at right angles then lambda is

The area of the circle x^2+y^2=16 exterior to the parabola y^2=6x is(A) 4/3(4pi-sqrt(3)) (B) 4/3(4pi+sqrt(3)) (C) 4/3(8pi-sqrt(3)) (D) 4/3(8pi+sqrt(3))

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. A point P moves such that it is at a constant distance c from the or...

    Text Solution

    |

  2. A line of fixed length 2 units moves so that its ends are on the po...

    Text Solution

    |

  3. The range of values of lambda,(lambda>0) such that the angle theta bet...

    Text Solution

    |

  4. If a/(b c)-2=sqrt(b/c)+sqrt(c/b), where a , b , c >0, then the family ...

    Text Solution

    |

  5. The base of a triangle passes through a fixed point (f,g) and its side...

    Text Solution

    |

  6. Let A (-2, 0) and B(2, 0), then the number of integral values of a, a ...

    Text Solution

    |

  7. From a point "P" on the line 2x+ y +4 which is nearest to the circle x...

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. A five digits number divisible by 3 is to be formed using the number 0...

    Text Solution

    |

  10. If alpha and beta are roots of the equation x^(2)-3x+1=0 and a(n)=alph...

    Text Solution

    |

  11. If f(x)=x+sinx, then find (2)/(pi^(2)).int(pi)^(2pi)(f^(-1)(x)+sinx)dx...

    Text Solution

    |

  12. Q. if f(n,theta)=prod(r=1)^n(1-tan^2(theta/2^r)), then compute lim(n->...

    Text Solution

    |

  13. A triangle is formed by the lines whose combined equation is given by ...

    Text Solution

    |

  14. In the expansion of (x^(2) + 1 + (1)/(x^(2)))^(n), n in N,

    Text Solution

    |

  15. if y^(2)(y^(2)-6)+x^(2)-8x+24=0, then maximum value of sqrt(y^(4)+x^(2...

    Text Solution

    |

  16. The tangent to y = ax ^(2)+ bx + (7 )/(2) at (1,2) is parallel to the ...

    Text Solution

    |

  17. Let Sn=1+2+3++n and Pn=(S2)/(S2-1)dot(S3)/(S3-1)dot(S4)/(S4-1)...(Sn)...

    Text Solution

    |

  18. A curve is represented parametrically by the equations x=t+e^(at) and ...

    Text Solution

    |

  19. Point A lies on the line y=2x and the sum of its abscissa and ordinate...

    Text Solution

    |

  20. A committee of two persons is selected from two men and two women. ...

    Text Solution

    |