Home
Class 12
MATHS
Let f(x)=intx^2(2x+6tanx-2xtan^2x) cos^2...

Let `f(x)=intx^2(2x+6tanx-2xtan^2x)` `cos^2xdxa n df(x)` passes through the point `(pi,0),` then the number of solution of the equation `f(x)=x^2in[0,2pi]` is 1 (b) 2 (c) 3 (d) 4

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The number of solutions of the equation tan2xtan x=1, x in[0,2 pi] is

Let f (x) = int x ^(2) cos ^(2)x (2x + 6 tan x - 2x tan ^(2) x ) dx and f (x) passes through the point (pi, 0) The number of solution (s) of the equation f (x) =x ^(3) in [0, 2pi] be:

The number of solutions of the equation x^(2)+2x^(2)+6x+2cos x=0 in [0,2 pi] is one (b) two (c) three (d) zero

The number of solutions of the equation 2cos^(2)x+3sin x-3=0,x in(0,2 pi) is

The number of solutions of the equation x^(3)+2x^(2)+5x+2cos x=0 in [0,2 pi] is lambda then (lambda)/(4)=

Total number of solution of the equation 3x+2tanx= (5pi)/2 "in" x in [0,2pi] =

Find the number of solution of the equation x^(3)+2x+cosx+tanx=0 in (-(pi)/(2),(pi)/(2))

Let f(x)=max{tanx, cotx} . Then the number of roots of the equation f(x)=(1)/(2)" in "(0, 2pi) is

f(x)=int2e^(x)cos^(2)x(-tan^(2)x+tan x+1)dx and f(x) passes through (pi,0) then (f(0)+f'(0) equals

The number of solution of the equation |2sin x-sqrt(3)|^(2cos^(2)x-3cos x+1)=1 in [0,pi] is 2 (b) 3(c)4 (d) 5

RESONANCE DPP-JEE MAINS-All Questions
  1. int(e^x(2-x^2))/((1-x)sqrt(1-x^2))dx= e^xdotsqrt((1-x)/(1+x))+c (b) ...

    Text Solution

    |

  2. solving the following equations : (i) |x-3| = x-1 (ii) |x^(2)-3x|=...

    Text Solution

    |

  3. Let f(x)=intx^2(2x+6tanx-2xtan^2x) cos^2xdxa n df(x) passes through th...

    Text Solution

    |

  4. In a geometric progression consisting of positive terms, each term ...

    Text Solution

    |

  5. For each positive integer n , let f(n+1)=n(-1)^(n+1)-2f(n) and f(1)=(2...

    Text Solution

    |

  6. Solve the following equations : (i) |x^(2)-2| = 2 |x-3| (ii) |x^(2...

    Text Solution

    |

  7. If the function f(x)=(4,sin ^2 x-1)^n(x^2-x+1)n in N has a local maxim...

    Text Solution

    |

  8. The value of ("lim")(xvec0)[1/n+(e^(1/n))/n+(e^(2/n))/n++(e^((n-1)/n))...

    Text Solution

    |

  9. Number of roots of the equation 2sqrt(2x+1)=2x-1 is 0 (b) 1 (c) 2 (...

    Text Solution

    |

  10. f(x)=|a x-b|+c|x|AAx in (-oo,oo), where a >0, b >0,c > 0. Find the con...

    Text Solution

    |

  11. Let f(0)=0a n dint0^2f^(prime)(2t)e^(f(2t))dt=5.t h e nv a l u eoff(4)...

    Text Solution

    |

  12. The value of c in Rolles theorem for the function f(x)=(x(x+1))/(e^...

    Text Solution

    |

  13. If f(x)=x^3-x^2+100x+2002 ,t h e n f(1000)>f(1001) f(1/(2000))>f(1...

    Text Solution

    |

  14. a,b,c are positive real numbers such that loga(b-c)=logb/(c-a)=logc/(a...

    Text Solution

    |

  15. The system of equations 'alpha' x+y+z=1,x+2y+4z=alpha and x+4y+10 z=...

    Text Solution

    |

  16. If alpha,beta be the roots of the equation (x-a)(x-b)+c=0(c!=0), then ...

    Text Solution

    |

  17. Let f(x) be a function such that f''(x) = f'(x) + e^x and f'(0) =1 ,f(...

    Text Solution

    |

  18. If |x^2-5x+3 2x-5 3 3x^2+x+4 6x+1 9 7x^2-6x+9 14 x-6 21| =a x^3+b x^...

    Text Solution

    |

  19. If y = x^3-3x + 2, then draw the graph of the followings (i) y=|x^3-3x...

    Text Solution

    |

  20. The equation of a line which is parallel to the line common to the pai...

    Text Solution

    |