Home
Class 12
MATHS
A circle passes through the points A(1,0...

A circle passes through the points `A(1,0)a n dB(5,0),` and touches the y-axis at `C(0,h)dot` If `/_A C B` is maximum, then (a)`h=3sqrt(5)` (b) `h=2sqrt(5)` (c)`h=sqrt(5)` (d) `h=2sqrt(10)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

A circle passes through the points A(1,0) and B(5,0), and touches the y-axis at C(0,h). If /_ACB is maximum,then (a)h=3sqrt(5)(b)h=2sqrt(5)(c)h=sqrt(5)(d)h=2sqrt(10)

Radius of the circle that passes through the origin and touches the parabola y^(2)=4ax at the point (a,2a) is (a) (5)/(sqrt(2))a (b) 2sqrt(2)a (c) sqrt((5)/(2))a (d) (3)/(sqrt(2))a

Tangents are drawn to x^(2)+y^(2)=16 from the point P(0,h). These tangents meet the x- axis at A and B. If the area of triangle PAB is minimum,then h=12sqrt(2) (b) h=6sqrt(2)h=8sqrt(2) (d) h=4sqrt(2)

The circle passing through the point (-1,0) and touching the y-axis at (0,2) also passes through the point (A) (-3/2,0) (B) (-5/2,2) (C) (-3/2,5/2) (D)(-4,0) ‘.. 2 2)

The radius of the circle passing through the points (1, 2), (5, 2) and (5, -2) is : (A) 5sqrt(2) (B) 2sqrt(5) (C) 3sqrt(2) (D) 2sqrt(2)

The radius of the circle touching the parabola y^(2)=x at (1,1) and having the directrix of y^(2)=x as its normal is (a)(5sqrt(5))/(8) (b) (10sqrt(5))/(3) (c) (5sqrt(5))/(4) (d) none of these

If A is the area an equilateral triangle of height h , then (a) A=sqrt(3)\ h^2 (b) sqrt(3)A=h (c) sqrt(3)A=h^2 (d) 3A=h^2

Tangents are drawn to x^2+y^2=16 from P(0,h). These tangents meet x-axis at A and B.If the area of PAB is minimum, then value of h is: (a) 12sqrt2 (b) 8sqrt2 (c) 4sqrt2 (d) sqrt2

If lines x+2y-1=0,ax+y+3=0, and bx-y+2=0 are concurrent,and S is the curve denoting the locus of (a,b), then the least distance of S from the origin is (a) (5)/(sqrt(57)) (b) 5/sqrt(51)(c)5/sqrt(58)(d)5/sqrt(59)

The square root of (7+3sqrt(5))(7-3sqrt(5)) is sqrt(5)(b)2(c)4(d)3sqrt(5)

RESONANCE DPP-JEE MAINS-All Questions
  1. Find the underset(k=1)overset(oo)sumunderset(n=1)overset(oo)sumk/(2^(n...

    Text Solution

    |

  2. If the inequality k x^2-2x+kgeq0 holds good for atleast one real ' x...

    Text Solution

    |

  3. A circle passes through the points A(1,0)a n dB(5,0), and touches the...

    Text Solution

    |

  4. ABCD is a rectangle. A circle passing through vertex C touches the sid...

    Text Solution

    |

  5. Consider a family of circles passing through two fixed points A (3,7) ...

    Text Solution

    |

  6. Equation of chord AB of the circle x^2+y^2=2 passing through P(2,2) su...

    Text Solution

    |

  7. In a triangle A B C ,A=(alpha,beta)B=(2,3),a n dC=(1,3)dot Point A l...

    Text Solution

    |

  8. Let O be the origin. If A(1,0)a n dB(0,1)a n dP(x , y) are points su...

    Text Solution

    |

  9. Let f(x) be a 4 egree polynomial satisfying f(r)=(1)/(r) for r=1,2,3,4...

    Text Solution

    |

  10. If f(x) is a differentiable function wherever it is continuous and f'(...

    Text Solution

    |

  11. consider f:R-{0}toR defined by f(x)=1-e^((1)/(x)-1) Q. Which of the ...

    Text Solution

    |

  12. Let f(x) be a polynomial satisfying f(0)=2 , f'(0)=3 and f''(x)=f(x) t...

    Text Solution

    |

  13. if f(x) is a differential function such that f(x)=int(0)^(x)(1+2xf(t))...

    Text Solution

    |

  14. If f(x) is a differentiable function wherever it is continuous and f'(...

    Text Solution

    |

  15. if f(x) is a differential function such that f(x)=int(0)^(x)(1+2xf(t))...

    Text Solution

    |

  16. Number of solutions of the equation sec^(-1)((2)/((1)/(x)+x))+picospix...

    Text Solution

    |

  17. consider f:R-{0}toR defined by f(x)=1-e^((1)/(x)-1) Q. f(x) is a/an

    Text Solution

    |

  18. The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=...

    Text Solution

    |

  19. The letters of word ZENITH are written in all possible ways. If all ...

    Text Solution

    |

  20. int(e^x(1+x))/(cos^2 (e^x * x) )dx equals (A) -cot(e x^x)+C (B) tan...

    Text Solution

    |