Home
Class 12
MATHS
If alpha is a positive root of p(x)= x^2...

If `alpha` is a positive root of `p(x)= x^2-x-2` Find `lim_(x rarr alpha^+) (sqrt(1-cos(p(x))))/(x-2)`

A

`(3)/(2)`

B

`(3)/(sqrt2)`

C

`(1)/(sqrt2)`

D

`(1)/(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr0)(sqrt((1-cos2x)/(2)))/(x)

lim_(x rarr0)(sqrt(1-cos x^(2)))/(1-cos x)=

lim_(x rarr0)(sqrt(1-cos2x))/(sqrt(2)x)

Find, lim_(x rarr0)(1-sqrt(1-x^(2)))/(x^(2))

lim_(x rarr0)(sqrt(2)-sqrt(1cos x))/(x^(2))

lim_(x rarr0)(sqrt(1-cos2x))/(2x) is equal to =

lim_(x rarr0)(1-cos x sqrt(cos2x))/(x^(2))

lim_(x rarr0)(sqrt(1-x^(2))-sqrt(1+x^(2)))/(2x^(2))

Evaluate: lim_(x rarr a) (sqrt(x+a)-sqrt(2a))/(x-a) .

lim_(x rarr0)(1-cos x sqrt(cos2x))/((e^(x)^^2-1))

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. If function f(x)={(k1(x-pi)^2-1,xlepi),(k2cosx,xgtpi):} is twice diffe...

    Text Solution

    |

  2. If common tangent to parabola y^2=4x and x^2=4y also touches the circl...

    Text Solution

    |

  3. If alpha is a positive root of p(x)= x^2-x-2 Find lim(x rarr alpha^+) ...

    Text Solution

    |

  4. int(e^(2x)+2e^x-e^(-x)-1)e^(e^x+e^(-x))dx=g(x)e^(e^x+e^(-x)) , then fi...

    Text Solution

    |

  5. The value of underset((-pi)/(2))overset((pi)/(2))(int) (1)/(1 + e^(sin...

    Text Solution

    |

  6. Let f (x) = x . [(x)/(2)] for - 10 lt x lt 10 , where [t] denotes the ...

    Text Solution

    |

  7. If the distance of line 2x-y+3=0 from 4x-2y+p=0 and 6x-3y+r=0 is respe...

    Text Solution

    |

  8. The number of four letters word while each consisting 2 distinct and t...

    Text Solution

    |

  9. The natural number m , for which the coefficient of x in the binomial ...

    Text Solution

    |

  10. Four different dice are thrown independently 27 times, then find the e...

    Text Solution

    |

  11. If alpha and beta be two roots of the equation x^(2) -64x+ 256=0 . ...

    Text Solution

    |

  12. The area ( in sq. units ) of the region A={(x,y):|x| + |y| le 1 , 2y^(...

    Text Solution

    |

  13. Find the general solution of the differential equation sqrt(1+x^(2)...

    Text Solution

    |

  14. Let L1 be a tangent to the parabola y^(2) = 4(x+1) and L2 be a tangent...

    Text Solution

    |

  15. If f(x+y)=f(x)f(y) and sum(x=1)^(oo)f(x)=2,x,y in N, where N is the se...

    Text Solution

    |

  16. Let I1= int0^1 (1-x^50)^100 dx and I2= int0^1(1-x^50)^101 dx and I1= l...

    Text Solution

    |

  17. Out of 11 consecutive natural numbers if three number are selected at ...

    Text Solution

    |

  18. A ray of light coming from the point (2,2sqrt(3)) is incident at an a...

    Text Solution

    |

  19. Which of the following points lies on the locus of the foot of perpe...

    Text Solution

    |

  20. The region represented by {z=x+iy in C:|z|-"Re"(z) le 1} is also given...

    Text Solution

    |