Home
Class 12
MATHS
Tangent of acute angle between the curve...

Tangent of acute angle between the curves `y=|x^2-1|` and `y=sqrt(7-x^2)` at their points of intersection is `(5sqrt(3))/2` (b) `(3sqrt(5))/2` `(5sqrt(3))/4` (d) `(3sqrt(5))/4`

A

`(5sqrt3)/(2)`

B

`(3sqrt5)/(2)`

C

`(5sqrt3)/(4)`

D

`(3sqrt5)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
X=√3
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

Tangent of acute angle between the curves y=|x^2-1| and y=sqrt(7-x^2) at their points of intersection is (a) (5sqrt(3))/2 (b) (3sqrt(5))/2 (5sqrt(3))/4 (d) (3sqrt(5))/4

A curve is represented by the equations x=sec^2ta n dy=cott , where t is a parameter. If the tangent at the point P on the curve where t=pi/4 meets the curve again at the point Q , then |P Q| is equal to (5sqrt(3))/2 (b) (5sqrt(5))/2 (c) (2sqrt(5))/3 (d) (3sqrt(5))/2

Show that 4sin27^0=(5+sqrt(5))^(1/2)+(3-sqrt(5))^(1/2)

Find the angle between the lines y-sqrt3 x - 5 = 0 and sqrt3 y -x + 6 = 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

Find the acute angle between the pair of straight lines whose direction cosines are sqrt(3)/4, -1/4, -sqrt(3)/2 and -sqrt(3)/4, 1/4, -sqrt(3)/2

The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis at Qdot If M is the midpoint of the line segment P Q , then the locus of M intersects the latus rectums of the given ellipse at points. (a) (+-((3sqrt(5)))/2+-2/7) (b) (+-((3sqrt(5)))/2+-(sqrt(19))/7) (c) (+-2sqrt(3),+-1/7) (d) (+-2sqrt(3)+-(4sqrt(3))/7)

The points on the line x=2 from which the tangents drawn to the circle x^2+y^2=16 are at right angles is (are) (a) (2,2sqrt(7)) (b) (2,2sqrt(5)) (c) (2,-2sqrt(7)) (d) (2,-2sqrt(5))

The ellipse 4x^2+9y^2=36 and the hyperbola a^2x^2-y^2=4 intersect at right angles. Then the equation of the circle through the points of intersection of two conics is (a) x^2+y^2=5 (b) sqrt(5)(x^2+y^2)-3x-4y=0 (c) sqrt(5)(x^2+y^2)+3x+4y=0 (d) x^2+y^2=25

Find angle between the lines y - sqrt3x - 5 0 " and " sqrt3 y - x +6 = 0 .

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. If the length of sub-normal is equal to the length of sub-tangent at ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. The tangent to the curve y = e ^(kx) at a point (0,1) meets the x-axis...

    Text Solution

    |

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

    Text Solution

    |

  8. The coordinates of a point on the parabola y^2=8x whose distance from ...

    Text Solution

    |

  9. At the point P(a,a^(n)) on the graph of y=x^(n)(n in N) in the first q...

    Text Solution

    |

  10. Let f be a continuous, differentiable, and bijective function. If the ...

    Text Solution

    |

  11. A point on the parabola y^2=18 x at which the ordinate increases at tw...

    Text Solution

    |

  12. Find the rate of change of volume of a sphere with respect to its s...

    Text Solution

    |

  13. If there is an error of k % in measuring the edge of a cube, then the ...

    Text Solution

    |

  14. A lamp of negligible height is placed on the ground l1 away from a wal...

    Text Solution

    |

  15. The function f(x)=x(x+3)e^(-(1/2)x) satisfies the conditions of Rolle'...

    Text Solution

    |

  16. The radius of a right circular cylinder increases at the rate of 0.1 ...

    Text Solution

    |

  17. A cube of ice melts without changing its shape at the uniform rate o...

    Text Solution

    |

  18. The radius of the base of a cone is increasing at the rate of 3 cm/min...

    Text Solution

    |

  19. If f(x)=x^3+7x-1, then f(x) has a zero between x=0a n dx=1 . The theor...

    Text Solution

    |

  20. Consider the function f(x)={{:(xsin(pi)/(x),"for"xgt0),(0,"for"x=0):} ...

    Text Solution

    |