Home
Class 12
MATHS
STATEMENT-1: log(2 + sin 2x) (x^4+x^2+1)...

STATEMENT-1: `log(2 + sin 2x) (x^4+x^2+1)e^(sinx) gt0` STATEMENT-2: Product of non-negative expressions can not assume negative value (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1 (C)Statement-1 is True; Statement-2 is False (D) Statement-1 is False; Statement-2 is True

A

True Statement-2 is True:Statement-2 is a correct explanation for Statement-1

B

Statement-1 is True, Statement-2 is True Statemtn-2 is NOT a correct expalanation for Statement-1

C

Statement-1 is True, Statement-2 is False

D

Statement-1 is Flase, Statement-2n is True

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

Statement-1: intsin^-1xdx+intsin^-1sqrt(1-x^2)dx=pi/2x+c Statement-2: sin^-1x+cos^-1x=pi/2 (A) Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1. (B) Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1. (C) Statement-1 is True, Statement-2 is False. (D) Statement-1 is False, Statement-2 is True.

Statement-1: The function F(x)=intsin^2xdx satisfies F(x+pi)=F(x),AAxinR ,Statement-2: sin^2(x+pi)=sin^2x (A) Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1. (B) Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1. (C) Statement-1 is True, Statement-2 is False. (D) Statement-1 is False, Statement-2 is True.

Statement-1: int((x^2-1)/x^2)e^((x^2+1)/x)dx=e^((x^2+1)/x)+C Statement-2: intf(x)e^(f(x))dx=f(x)+C (A) Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1. (B) Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1. (C) Statement-1 is True, Statement-2 is False. (D) Statement-1 is False, Statement-2 is True.

Statement-1: int(sinx)^x(xcotx+logsinx)dx=x(sinx)^x Statement-2: d/dx(f(x))^(g(x))=(f(x))^(g(x))d/dx[g(x)logf(x)] (A) Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1. (B) Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1. (C) Statement-1 is True, Statement-2 is False. (D) Statement-1 is False, Statement-2 is True.

Statement-1: intdx/(x(1+logx)^2)=-1/(1+logx)+C , Statement-2: int(f(x))^nf\'(x)dx=(f(x))^(n+1)/(n+1)+C, n+1!=0 (A) Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1. (B) Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1. (C) Statement-1 is True, Statement-2 is False. (D) Statement-1 is False, Statement-2 is True.

Consider the function F(x)=intx/((x-1)(x^2+1))dx Statement-1: F(x) is discontinuous at x=1 ,Statement-2: Integrand of F(x) is discontinuous at x=1 (A) Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1. (B) Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1. (C) Statement-1 is True, Statement-2 is False. (D) Statement-1 is False, Statement-2 is True.

Statement-1 : lim_(x to 0) (sqrt(1 - cos 2x))/(x) at (x = 0) does not exist. Statement -2 :Right hand limit != Left hand limit i) Statement - 1 is True, Statement-2 is True, Statement-2 is a correct explanation for statement-1 ii)Statement-1 is True, Statement-2 is True, Statement-2 is Not a correct explanation for statement-1 iii)Statement-1 is True, Statement-2 is False iv)Statement -1 is False, Statement-2 is True

Statement-1: p-Nitroaniline is more polar than nitrobenzene and Statement-2: Nitro group has -M effect. (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1 (b) Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement -1 (c) Statement -1 is true, Statement -2 is false (d) Statement -1 is false, Statement -2 is true

STATEMENT-1 In amplitude modulated wave, the band-width is twice the signal frequency STATEMENT 2 In amplitude modulated wave, the bandwidth does not depend on the Frequency of the carrier wave A. Statement-1 is True. Statement-2 is True Statement-2 is a correct explanation for statement-1 B. Statement is True Statement-2 is True Statement-2 is NOT a correct explanation for Statement-1 C. Statement-1 Is True Statement-2 is False D. Statement-1 is False. Statement 2 is True

Statement-1 :Perpendicular from origin O to the line joining the points A(c cosalpha,c sinalpha) and B(c cosbeta,c sinbeta) divides it in the ratio 1:1 Statement-2 Perpendicular from opposite vertex to the base of an isosceles triangle bisects it Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 Statement-1 is True, Statement-2 is True; Statement-2 is not a correct explanation for Statement-1 Statement-1 is True, Statement-2 is False Statement-1 is False, Statement-2 is True

RESONANCE ENGLISH-DPP-QUESTION
  1. If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divid...

    Text Solution

    |

  2. Match the following {:(,"Column-I",,"Column-II"),((A),"Even number",...

    Text Solution

    |

  3. STATEMENT-1: log(2 + sin 2x) (x^4+x^2+1)e^(sinx) gt0 STATEMENT-2: Prod...

    Text Solution

    |

  4. The solution set of the equation (x+1)log(3)^(2)x+4xlog(3)-16=0is

    Text Solution

    |

  5. The largest real solution of the equatio sqrt(sqrt(sqrtx))=4sqrt(4sqrt...

    Text Solution

    |

  6. The number of distinct pairs (x,y) of the real number satisfying x=x^(...

    Text Solution

    |

  7. Let X minimum (x^(2)-2x+7),c inRand B="Minimum"(x^(2)-2x+7),x in[2,oo)...

    Text Solution

    |

  8. If alpha,beta, gamma are the roots of the cubic equation 2009x^(3)+2x^...

    Text Solution

    |

  9. Find the root common the system of equations log(10)(3^(x)-2^(4-x))=2+...

    Text Solution

    |

  10. Match the column Consider the number = N 123X43Y where x & y are dig...

    Text Solution

    |

  11. Solve the equations for x and y:(3x)^(log3)=(4y)^(log 4), 4 ^(log x) ...

    Text Solution

    |

  12. Solve the equations for x and y:(3x)^(log3)=(4y)^(log 4), 4 ^(log x) ...

    Text Solution

    |

  13. If the difference of the roots of the question ,x^(2)+px+q=0"be unity,...

    Text Solution

    |

  14. If alpha, beta, gamma, are the roots of the equation x^(3)+3x-1=0, the...

    Text Solution

    |

  15. If alpha is a roots equations 4x^2+2x-1=0andf(x)=4x^3-3x+1,then2(f(alp...

    Text Solution

    |

  16. If alpha, beta, gamma are the roots of the equation x^(2)=px^(2)+qx-r=...

    Text Solution

    |

  17. Find the sum of all integers satisfying the inequalities log(5)(x-3)...

    Text Solution

    |

  18. Let a and b be two integers such that 10 a + b = 20 and g(x) = x^2 + a...

    Text Solution

    |

  19. The value of x satisfying the equation (5050-((1)/(2)+(2)/(3)+(3)/(4)+...

    Text Solution

    |

  20. Find the value of 'k' for which the following set of quadratic equatio...

    Text Solution

    |