Home
Class 12
MATHS
Let a circle of radius of 4 be concentri...

Let a circle of radius of 4 be concentric to the ellipse `15x^2+19y^2=285`. Then the common tangents are inclined to the minor axis of the ellipse at the angle

A

`pi/3`

B

`pi/4`

C

`pi/6`

D

`pi/12`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos
  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

Similar Questions

Explore conceptually related problems

A circle of radius r is concentric with the ellipse (x^2)/(a^(2))+(y^2)/(b^(2))=1 .Then inclination of common tangent with major axis is

A circle of radius 5/sqrt2 is concentric with the ellipse x^(2)/16+y^(2)/9=1 , then the acute angle made by the common tangent with the line sqrt3x-y+6=0 is

Find the point on the ellipse 16x^(2)+11y^(2)=256 where the common tangent to it and the circle x^(2)+y^(2)-2x=15 touch.

The distance of the centre of the ellipse x^2 +2y^2 -2 = 0 to those tangents of the ellipse which are equally inclined to both the axes is

An ellipse is cutout of a circle of radius a,the major axis of the ellipse coincides with one of the diameter of the circle while the minor axis is equal to 2b .Prove that the area of the remaining part equals that of the ellipse with the semi axes a and a -b .

Equation of a tangent to the ellipse x^2/36+y^2/25=1 , passing through the point where a directrix of the ellipse meets the + ve x-axis is

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. Let g(x)=f(x)+f(1-x) and f''(x) gt 0,x in (0,1). If g is decreasing in...

    Text Solution

    |

  2. The statement ~[pvv(~(p^^q))] is equivalent to

    Text Solution

    |

  3. Let a circle of radius of 4 be concentric to the ellipse 15x^2+19y^2=2...

    Text Solution

    |

  4. Let S={x in (-pi/2,pi/2) : 9^(1-tan^2x)+9^(tan^2x)=10} and beta=sum(x ...

    Text Solution

    |

  5. Let A={2,3,4} and B={8,9,12}. Then the number of elements in the relat...

    Text Solution

    |

  6. Let a die be rolled n times. Let the probability of getting odd number...

    Text Solution

    |

  7. Let S={z=x=iy: (2z-3i)/(4z+2i) is a real number}. Then which of the fo...

    Text Solution

    |

  8. If Sn=4+11+21+34+50+... to n terms, then 1/60(S(29)-S9) is equal to

    Text Solution

    |

  9. If A=1/(5!6!7!)[[5!,6!,7!],[6!,7!,8!],[7!,8!,9!]], then |adj(adj(2A))|...

    Text Solution

    |

  10. Let A be the point (1,2) and B be any point on the curve x^2+y^2=16. I...

    Text Solution

    |

  11. If the coefficients of x and x^2 in (1+x)^p(1-x)^q are 4 and -5 respec...

    Text Solution

    |

  12. If the points P and Q are respectively the circumcenter and the orthoc...

    Text Solution

    |

  13. Let the line x/1=(6-y)/2=(z+8)/5 intersect the lines (x-5)/4=(y-7)/3=(...

    Text Solution

    |

  14. Suppose a1, a2, 2, a3,a4 be in an arithmeticogeometric progression. If...

    Text Solution

    |

  15. In the figure theta1+theta2=pi/2 and sqrt3(BE)=4(AB). If the area of t...

    Text Solution

    |

  16. If the area of the region {(x, y) : |x^2 – 2| le y lex} is A then 6A +...

    Text Solution

    |

  17. Let the tangent at any point P on a curve passing through the points (...

    Text Solution

    |

  18. et the foot of perpendicular from the point A(4, 3,1) on the plane P :...

    Text Solution

    |

  19. The sum of all the four-digit numbers that can be formed using all the...

    Text Solution

    |

  20. If the domain of the function f(x) = sec^(-1)((2x)/(5x+3)) is [alpha ,...

    Text Solution

    |