Home
Class 12
MATHS
If theta is acute angle of intersect bet...

If `theta` is acute angle of intersect between two curves `x^(2)+5y^(2)=6` and `y^(2)=x`, then `cot theta` is equal to

Text Solution

Verified by Experts

`:'x^(2)+5x-6=0`
`implies (x-1)(x+6)=0impliesx=1`
`:. x+5y=6`…..(i) tangents
& `y=1/2(x+1)`………..(ii)
`:.tantheta =|(-1/5+1/2)/(1+1/10)|=3/11`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    FIITJEE|Exercise NUMERICAL BASED|4 Videos
  • TIPS

    FIITJEE|Exercise NUERICAL DECIMAL BASED QUATIONS|20 Videos

Similar Questions

Explore conceptually related problems

The angle of intersection of the curves x^(2)+y^(2)=6 and y^(2)=x ,is

The angle of intersection between the curves y^(2)=8x and x^(2)=4y-12 at (2,4) is

Find the angle of intersection of the curves y^(2)=x and x^(2)=y

Acute angle between two curve x^(2)+y^(2)=a^(2)sqrt2 and x^(2)-y^(2)=a^(2) is

If theta is the acute angle of intersection at a real point of intersection of the circle x^(2)+y^(2)=5 and the parabola y^(2)=4x, then tan theta is equal to

If sin^(-1) theta is the acute angle between the curves x^(2)+y^(2)=4x " and " x^(2)+y^(2)=8 " at " (2,2), then theta=

If the angle between the curves x^(2)y=1 and y=e^(2(1-x)) at the point (1,1) is theta, then tan theta is equal to

The acute angle of intersection of the curves x^(2)y=1 and y=x^(2) in the first quadrant is theta , then tan theta is equal to

If theta is the acute angle between the lines 6x^(2)+11xy+3y^(2)=0 ,then tan theta

FIITJEE-TEST PAPERS-MATHEMATICS
  1. If x+y=3 is tangent at (2,1) on hyperbola, intersects asymptotes at A ...

    Text Solution

    |

  2. If x^(2)+y^(2)=16 is director circle of locus of centre of a moving el...

    Text Solution

    |

  3. If theta is acute angle of intersect between two curves x^(2)+5y^(2)=6...

    Text Solution

    |

  4. If 8 harmonic means are inserted between two numbes a and b (altb) suc...

    Text Solution

    |

  5. If f(x)=sum(i=1)^(oo) x/({(i-1)x+1}(ix+1)), then f(2017)+f(1/2017) is ...

    Text Solution

    |

  6. If tangent is drawn at (x(1), y(1)) on the hyperbola (x^(2))/4-(y^(2))...

    Text Solution

    |

  7. If int(0)^(x)((t^(3)+t)dt)/((1+3t^(2)))=f(x), then int(0)^(1)f^(')(x) ...

    Text Solution

    |

  8. If y=f(x) is solution of differentiable equation (dy)/(dx)=y/x((1-3x^(...

    Text Solution

    |

  9. If 5x(1+ 1/(x^(2)+y^(2)))=12 and 5y(1- 1/(x^(2)+y^(2)))=4 AAx,yepsilon...

    Text Solution

    |

  10. If a tangent on ellipse at A(1,1) intersect its directrix at B(7,-6) a...

    Text Solution

    |

  11. let f(x)=(cos^-1(1-{x})sin^-1(1-{x}))/sqrt(2{x}(1-{x})) where {x} deno...

    Text Solution

    |

  12. If int(a)^(b)|sin|dx=8& int(0)^(a+b)|cosx|dx=9 ten

    Text Solution

    |

  13. If a,b,c are sides an acute angle triangle satisfying a^(2)+b^(2)+c^(2...

    Text Solution

    |

  14. If locus of point P(z) in complex plane ils |z+z(1)|+|z+z(2)|=4 where ...

    Text Solution

    |

  15. If locus of point P(z) in complex plane is |z+z(1)|+|z+z(2)|=4 where A...

    Text Solution

    |

  16. If f(2+x)+f(x)=2 for all xepsilon [0,2] and k=int(0)^(4)f(x)dx-4 such ...

    Text Solution

    |

  17. There are "n" married couples at a path each person shakes hand with e...

    Text Solution

    |

  18. If f(x)=x+int(0)^(1)x^(2).zf(z)dz+int(0)^(1)xz^(2)f(z)dz then we have ...

    Text Solution

    |

  19. If x is root of (1+x^(4))=7(1+x)^(4) then |x+1/x|= ?

    Text Solution

    |

  20. If y=2 is directrix and (0,1) be the vertex of parabola x^(2)+lamday+m...

    Text Solution

    |