Home
Class 12
MATHS
Then angle of intersection of the normal...

Then angle of intersection of the normal at the point `(-5/(sqrt(2)),3/(sqrt(2)))` of the curves `x^2-y^2=8` and `9x^2+25 y^2=225` is 0 (b) `pi/2` (c) `pi/3` (d) `pi/4`

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

Show that the equation of the normal to the ellipse (x^(2))/(25)+(y^(2))/(9)=1 "at" ((5)/(sqrt(2)),(3)/(sqrt(2))) is the line 5x-3y=8sqrt(2) .

The angles at which the circles (x-1)^2+y^2=10 and x^2+(y-2)^2=5 intersect is pi/6 (b) pi/4 (c) pi/3 (d) pi/2

The eccentricity of the curve 9x^2-25y^2=225 is

If the equation x^3+b x^2+c x+1=0,(b (a) -pi (b) -pi/2 (c) pi/2 (d) pi

Find the angle of intersection of the curve x^2+y^2-4x-1=0 and x^2+y^2-2y-9=0 .

The angle between the lines joining the origin to the points of intersection of the line sqrt3x+y=2 and the curve y^(2)-x^(2)=4 is

If the line xcostheta+ysintheta=2 is the equation of a transverse common tangent to the circles x^2+y^2=4 and x^2+y^2-6sqrt(3)x-6y+20=0 , then the value of theta is (a) (5pi)/6 (b) (2pi)/3 (c) pi/3 (d) pi/6

Find the points of intersection of the curves y=cosx and y=sin3x if -pi/2 le x le pi/2

The equation of the circle passing through the point of intersection of the circles x^2+y^2-4x-2y=8 and x^2+y^2-2x-4y=8 and the point (-1,4) is (a) x^2+y^2+4x+4y-8=0 (b) x^2+y^2-3x+4y+8=0 (c) x^2+y^2+x+y=0 (d) x^2+y^2-3x-3y-8=0

The angle between the tangents to the curve y=x^2-5x+6 at the point (2, 0) and (3, 0) is (a) pi/2 (b) pi/3 (c) pi (d) pi/4

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. At what point of curve y=2/3x^3+1/2x^2, the tangent makes equal angle ...

    Text Solution

    |

  2. The equation of the tangent to the curve y=b e^(-x//a) at the point wh...

    Text Solution

    |

  3. Then angle of intersection of the normal at the point (-5/(sqrt(2)),3/...

    Text Solution

    |

  4. If a variable tangent to the curve x^2y=c^3 makes intercepts a , b o...

    Text Solution

    |

  5. Let C be the curve y=x^3 (where x takes all real values). The tangent ...

    Text Solution

    |

  6. If H is the number of horizontal tangents and V is the number of verti...

    Text Solution

    |

  7. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

    Text Solution

    |

  8. The curves 4x^2+9y^2=72 and x^2-y^2=5a t(3,2) Then (a) touch each oth...

    Text Solution

    |

  9. If the length of sub-normal is equal to the length of sub-tangent at ...

    Text Solution

    |

  10. At any point on the curve 2x^2y^2-x^4=c , the mean proportional betwee...

    Text Solution

    |

  11. The x-intercept of the tangent at any arbitrary point of the curve a/(...

    Text Solution

    |

  12. A curve is represented by the equations x=sec^2ta n dy=cott , where t ...

    Text Solution

    |

  13. The two curves x=y^2,x y=a^3 cut orthogonally at a point. Then a^2 is ...

    Text Solution

    |

  14. The line tangent to the curves y^3-x^2y+5y-2x=0 and x^2-x^3y^2+5x+2y=0...

    Text Solution

    |

  15. Tangent of acute angle between the curves y=|x^2-1| and y=sqrt(7-x^2) ...

    Text Solution

    |

  16. The number of point in the rectangle {(x , y)}-12lt=xlt=12a n d-3lt=yl...

    Text Solution

    |

  17. Consider a curve C : y=cos^(-1)(2x-1) and a straight line L :2p x-4y+2...

    Text Solution

    |

  18. Statement 1: The tangent at x=1 to the curve y=x^3-x^2-x+2 again meets...

    Text Solution

    |

  19. An aeroplane is flying horizontally at a height of 2/3k m with a veloc...

    Text Solution

    |

  20. Use the mean value theorem to prove e^(x)ge1+xAA x(inR)

    Text Solution

    |