Home
Class 12
MATHS
The cosine of the acute angle between th...

The cosine of the acute angle between the curves `y=|x^(2)-1| and y=|x^(2)-3|` at their points of intersection is

A

`(1)/(3)`

B

`(7)/(9)`

C

`(11)/(9sqrt2)`

D

`(2)/(7)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 89

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 91

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The acute angle between the curves y=|x^(2)-1| and y=|x^(2)-3| at their points of intersection when when x>0, is

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) (d) (3sqrt(5))/(4)

The cosine of the angle between the curves y=3^(x-1)ln x and y=x^(x)-1 at their point of intersection on the line y=0, is

Cosine of the acute angle between the curve y=3^(x-1)log_(e)x and y=x^(x)-1 , at the point of intersection (1,0) is

Find the acute angle between the two curves y=x^2 and y=(x-3)^2

Write the angle between the curves y=e^(-x) and y=e^x at their point of intersection.

What is the acute angle between the curves xy=2 and y^2=4x at their point of intersection ?

Let theta be the acute angle between the curves y=x^(x)ln x and y=(2^(x)-2)/(ln2) at their point of intersection on the line y=0. The value of tan theta is equal to

If theta denotes the acute angle between the curves, y-10-x^(2) and y=2+x^(2) at a point of their intersection, then |tan theta| is equal to 8/(3k) . The vlaue of k is _____________.

Find the acute angle between the curve y=sin x&y=cos x

NTA MOCK TESTS-NTA JEE MOCK TEST 90-MATHEMATICS
  1. The angle between the tangents drawn from the point (4, 1) to the para...

    Text Solution

    |

  2. Let A and B be two symmetric matrices. prove that AB=BA if and only if...

    Text Solution

    |

  3. A biased coin is tossed repeatedly until a tail appears for the first ...

    Text Solution

    |

  4. The remainder obtained when 51^25 is divided by 13 is

    Text Solution

    |

  5. 5/(1^2*4^2)+11/(4^2*7^2)+17/(7^2*1 0^2)+

    Text Solution

    |

  6. If the area bounded by the curves {(x, y)|x^(2)-y+1 ge 0} and {(x, y)|...

    Text Solution

    |

  7. Find the number of ordered pairs of (x, y) satisfying the equation y =...

    Text Solution

    |

  8. Let P-=(a, 0), Q-=(-1, 0) and R-=(2, 0) are three given points. If the...

    Text Solution

    |

  9. The equation of the plane which passes through the point of intersecti...

    Text Solution

    |

  10. If the common tangets of x^(2)+y^(2)=r^(2) and (x^(2))/(16)+(y^(2))/(9...

    Text Solution

    |

  11. If z(i) (where i=1, 2,………………..6) be the roots of the equation z^(6)+z^...

    Text Solution

    |

  12. The cosine of the acute angle between the curves y=|x^(2)-1| and y=|x^...

    Text Solution

    |

  13. The integral I=int((1)/(x.secx)-ln(x^(sinx)))dx simplifies to (where, ...

    Text Solution

    |

  14. If 0 < alpha < pi/3, then alpha(secalpha) is

    Text Solution

    |

  15. If the curve satisfies the differential equation x.(dy)/(dx)=x^(2)+y-2...

    Text Solution

    |

  16. If lim(xrarr0)(sin2x-a sin x)/(((x)/(3))^(3))=L exists finitely, then ...

    Text Solution

    |

  17. Let A=[a(ij)](5xx5) is a matrix such that a(ij)={(3,AA i= j),(0,Aai ne...

    Text Solution

    |

  18. If the number of solutions of the equation x+y+z=20, where 1 le x lt y...

    Text Solution

    |

  19. From the point A(0, 3) on the circle x^(2)+4x+(y-3)^(2)=0, a chord AB ...

    Text Solution

    |

  20. I=int(0)^(2)(e^(f(x)))/(e^(f(x))+e^(f(2-x)))dx is equal to

    Text Solution

    |