Home
Class 12
MATHS
Equation of tangent to circle (x-alpha)^...

Equation of tangent to circle `(x-alpha)^2+(y-beta)^2=50` is `x+y=0`. Find `(alpha+beta)^2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

  • JEE MAIN 2024 ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|598 Videos

Similar Questions

Explore conceptually related problems

In circle (x-alpha)^2+(y-beta)^2=50 and line x+y=0 intersect at only one point P from origin is 4sqrt2 then alpha^2+beta^2 is

Consider a circle (x-alpha)^(2)+(y-beta)^(2)=50 ,where alpha,beta>0 .If the circle touches the line y+x=0 at the point "P" ,whose distance from the origin is 4sqrt(2) ,then (alpha+beta)^(2) is equal to

14.If alpha and beta are the roots of the equation x^(2)+7x+12=0, then equation whoseroots are (alpha+beta)^(2) and (alpha-beta)^(2) is

If alpha and beta are the roots of the equation x^2 - 10x + 5 = 0 , then equation whose roots are (alpha+beta)^2 and (alpha-beta)^2 is

If alpha,beta are the roots of the equation 2x^(2)+2(a+b)x+a^(2)+b^(2)=0, then find the equation whose roots are (alpha+beta)^(2) and (alpha-beta)^(2)

If alpha,beta are the roots of the equation 2x^(2)+2(a+b)x+a^(2)+b^(2)=0 then find the equation whose roots are (alpha+beta)^(2) and (alpha-beta)^(2)

If (-1, 3) and (alpha, beta) are the extremities of the diameter of the circle x ^(2) + y ^(2) - 6x + 5y - 7 = 0 , find the coordinates (alpha, beta ) .

alpha , beta " are root of " y^2 - 2y - 7 =0 " find " alpha^2 + beta^2

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024-Questions
  1. Equation of tangent to circle (x-alpha)^2+(y-beta)^2=50 is x+y=0. Find...

    Text Solution

    |

  2. If f(x)={(-2,,,-2,le,x, <,0),(x-2,,,0,le,x, le,2):} and h(x) = f(|x|) ...

    Text Solution

    |

  3. Let ABC be a triangle. If P1, P2, P3, P4, P5 are five points on side A...

    Text Solution

    |

  4. Let y(x) be a curve given by differential equation (dy)/(dx) - y = 1 +...

    Text Solution

    |

  5. Let there are 3 bags A, B and C. Bag contain 5 black balls and 7 red b...

    Text Solution

    |

  6. The number of rational terms in the expansion of (2^(1/2) + 3^(1/3))^(...

    Text Solution

    |

  7. 2 and 6 are roots of the equation ax^2 + bx + 1 = 0 then the quaratic ...

    Text Solution

    |

  8. Let f(x)={(frac{1-cos2x}{x^2},x, <,0),(alpha,x,=,0),(beta (frac{sqrt(1...

    Text Solution

    |

  9. One point of intersection of curve y = 1 + 3x - 2x^2 and y = 1/x is (...

    Text Solution

    |

  10. If alpha and beta are sum and product of non zero solution of the equa...

    Text Solution

    |

  11. If domain of the function f(x) = sin^(-1) (frac{3x - 22}{2x - 19}) + l...

    Text Solution

    |

  12. The value of lim(xrarr 4) frac{(5 + x)^(1/3) - (1 + 2x)^(1/3)}{(5 + x)...

    Text Solution

    |

  13. If the function f(x) ={(1/|x|,|x|,ge,2),(zx^2+2b,|x|,<,2):} differenti...

    Text Solution

    |

  14. Let alpha, beta in R. If the mean and the variable of 6 observation, -...

    Text Solution

    |

  15. A square is inclined in the circle x^2 + y^2 - 10 x - 6y + 30 = 0 such...

    Text Solution

    |

  16. Let f(x) = x^5 + 2e^(x/4) AA x in R. Consider a function of (gof) (x) ...

    Text Solution

    |

  17. Let f(x) =frac{2x^2 - 3x + 9} {2x^2 +3x + 4}, x in R, if maximum and m...

    Text Solution

    |

  18. int0^(pi/4) frac{sin^2 x}{1 + sin x. cos x}, dx = 0

    Text Solution

    |

  19. 2, p, q are in G.P. (where p ne q) and in A.P., 2 is third term, p is ...

    Text Solution

    |