Home
Class 12
MATHS
If the minimum distance of the point (se...

If the minimum distance of the point `(sec alpha, "cosec "alpha)` from the circle `x^(2)+y^(2)=3` can be expressed as `A-sqrtb`, where `a, b in N`, then the vlaue of `(b)/(a)` is

Text Solution

Verified by Experts

The correct Answer is:
1.5
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 77

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 79

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The gradient of the tangent line at the point (a cos alpha,a sin alpha) to the circle x^(2)+y^(2)=a^(2)

If the point (sec alpha,cos ec alpha) moves in the plane of circle x^(2)+y^(2)=3 and the minimum distance of the pointfrom the circle can be expressed as a-sqrt(b), where a,b in N then find (a+b).

If the line y cos alpha = x sin alpha +a cos alpha be a tangent to the circle x^(2)+y^(2)=a^(2) , then

If the tangents at the point (a sec alpha, b tan alpha) to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets the transverse axis at T , then the distance of T from a focus of the hyperbola, is

If the line x cos alpha+y sin alpha=p and the circle x^(2)+y^(2)=a^(2) intersect at A and B then the equation of the circle on AB as diamerter is

If the line x cos alpha+y sin alpha=p and the circle x^(2)+y^(2)=a^(2) intersect at A and B then the equation of the circle on AB as diamerter is

If sec alpha and cosec alpha are the roots of the equation x^(2)-ax+b=0, then

The value of the integral int_(0)^(3alpha) cosec (x-alpha)cosec(x-2alpha)dx is

I If a point (alpha,beta) lies on the circle x^(2)+y^(2)=1 then the locus of the point (3 alpha.+2,beta), is

(sin alpha+csc alpha)^(2)+(cos alpha+sec alpha)^(2)-7=

NTA MOCK TESTS-NTA JEE MOCK TEST 78-MATHEMATICS
  1. If f(x)={{:((e^((2)/(x))-1)/(e^((2)/(x))+1),:,x ne 0),(0,:,x=0):}, the...

    Text Solution

    |

  2. If phi(x)=log(8)log(3)x, then phi'(e ) is equal to

    Text Solution

    |

  3. If the trigonometric equation tan^(-1)x=2sin^(-1)a has a solution, the...

    Text Solution

    |

  4. The negation of the statement ''If I will become famous then I will op...

    Text Solution

    |

  5. A weighted coin with the probability of showing a head is (2)/(3) is t...

    Text Solution

    |

  6. If the volume of the parallelepiped formed by the vectors veca xx vecb...

    Text Solution

    |

  7. The system of equations kx+(k+2)y+(k-2)z=0, (k+2)x+ky+(k+4)z=0 (k-2)x+...

    Text Solution

    |

  8. If f(x)=ax^(2)+bx+c, f(-1) gt (1)/(2), f(1) lt -1 and f(-3)lt -(1)/(2)...

    Text Solution

    |

  9. The function f(x)=2sin x-e^(x), AA x in [0, pi] has

    Text Solution

    |

  10. The area (in sq. units) bounded between y =2xln x and y =-x from x=e t...

    Text Solution

    |

  11. A curve is such that the x - intercept of the tangent drawn to it the ...

    Text Solution

    |

  12. P lies on the line y=x and Q lies on y= 2x. The equation for the locu...

    Text Solution

    |

  13. The range of the function f(x)=(sin(pi|x+1|))/(x^(4)+1) (where [.] is ...

    Text Solution

    |

  14. The area of triangle formed by the lines x-y=0, x+y=0 and any tangent ...

    Text Solution

    |

  15. For a complex number z, the product of the real parts of the roots of ...

    Text Solution

    |

  16. If the sum of the first n terms of an arithmetic progression, whose fi...

    Text Solution

    |

  17. Given four points A(2, 1, 0)m B(1, 2, 3), C(3, 1, 1) and D(0, 1, 3). P...

    Text Solution

    |

  18. Each side of a square subtends an angle of 60^(@) at the top of a towe...

    Text Solution

    |

  19. If the definite integral I=int(0)^(pi)sin[x] dx=sum(epsilon=0)^(n)a(ep...

    Text Solution

    |

  20. If the minimum distance of the point (sec alpha, "cosec "alpha) from t...

    Text Solution

    |