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STATEMENT-1 : The graph of y=[sqrt(1-cos...

STATEMENT-1 : The graph of `y=[sqrt(1-cos2x])` consists of only two line segments. where [.] represent greatest integer function. AND STATEMENT-2: The graph of `sqrt(y=1-cos2x)` is STATEMENT-1 is true, STATEMENT-2 is true and STATEMENT-2 is correct explanation for STATEMENT-1 STATEMENT-1 is true, STATEMENT-2 is true and STATEMENT-2 is not correct explanation for STATEMENT-1 STATEMENT-1 is true, STATEMENT-2 is false STATEMENT-1 is false, STATEMENT-2 is true Both STATEMENTS are false

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Statement 1 : 3,6, 12 are in GP, then 9, 12, 18 are in H. P.Statement 2: If three consecutive terms of a G.P. are positive and if middle term is added in these terms,then resultant will be in H.P(A)STATEMENT-1 is true, STATEMENT-2 is true and STATEMENT-2 is correct explanation forSTATEMENT-1STATEMENT-1 is true, STATEMENT-2 is true and STATEMENT-2 is not correct explanation forSTATEMENT-1STATEMENT-1 is true, STATEMENT-2 is falseSTATEMENT-1 is false, STATEMENT-2 is true(B)(C)(D)

Statement-1 : Solution of (1 + xsqrt(x^2+y^2) ) dx + y (-1 +sqrt(x^2+y^2)) dy = 0 is x-y^2/2+1/3(x^2 + y^2)^(3/2) +c=0 Statement-2 : Solution of (1 + xy) y dx + (1-xy) x dy = 0 is ln (x/y)-1/(xy)=c (A) STATEMENT-1 is true, STATEMENT-2 is true and STATEMENT-2 is correct explanation for (B) STATEMENT-1 is true, STATEMENT-2 is true and STATEMENT-2 is not correct explanation of STATEMENT-1 for STATEMENT-1 C) STATEMENT-1 is true, STATEMENT-2 is false D)STATEMENT-1 is false, STATEMENT-2 is true

STATEMENT -1: (666...n digit)^2+(888... ndigit)=(444....2ndigits) STATEMENT- 2 (111....1) 12 times is a prime number. (A) STATEMENT-1 is True, STATEMENT-2 is True ; STATEMENT-2 is a correct explanation for (B) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for (C) STATEMENT-1 is True, STATEMENT-2 s False .n digits+ (888. digits) (44 .2n digits) 2 is a prime number 12 times n H.P., wherea STATEMENT-1 STATEMENT-1 STATEMENT-1 is False, STATEMENT-2 is True (D)

Each question has four choices, a,b,c,d out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT If both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT 1. If both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. If STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. If STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1: Leg f(x)=x[x]a n d[dot] denotes the greatest integral function, when x is not an integer, then rule for f^(prime)(x) is given by [x]dot Statement 2: f^(prime)(x) does not exist for any x integer.

Each question has four choices a,b,c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. If both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT 1 If both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. If STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. If STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1 : The area bounded by y=e^x , y=0a n dx=0 is 1 sq. unites. Statement 2 : The area bounded by y=(log)_e x ,x=0,a n dy=0 is 1 sq. units.

Each question has four choices, a,b,c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. If both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT 1. If both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. If STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. If STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1: inte^xsinx dx=(e^x)/2(sinx-cosx)+c Statement 2: inte^x(f(x)+f^(prime)(x))dx=e^xf(x)+c

Each question has four choices a, b, c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. Both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT1. Both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1: |a d j(a d j(a d j A))|-|A|^(n-1)^3 , where n is order of matrix Adot Statement 2: |a d jA|=|A|^ndot

Each question has four choices, a,b,c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. If both the statement are TRUE and STATEMENT 2 is the correct explanation of STATEMENT 1. If both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. If STATEMENT 1 is TRUE and STATEMENT 2 is FLASE. If STATEMENT 1 is FALSE and STATEMENT 2 is TURE. Statement 1: Lagrange mean value theorem is not applicable to f(x)=|x-1|(x-1) Statement 2: |x-1| is not differentiable at x=1.

Statement-I int_0^9[sqrtx]dx=13, Statement-II int_0^(n^2) [sqrt x]dx=(n(n-1)(4n+1))/6, n in N (where [.] denotes greatest integer function) (1) Statement-I is true, Statement-II is true Statement-II is a correct explanation for Statement-I (2) Statement-I is true, Statement-II is true Statement-II is not a correct explanation for Statement-I, (3) Statement-I is true, Statement-II is false. (4) Statment-I is false, Statement-II is true.

RESONANCE DPP-JEE MAINS-All Questions
  1. For all real value of x , the maximum value of the expression x/(x^2-5...

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  2. If minimum of f(x)=(a)/(x)+bx at x=2 is 2, then (a, b) -=….

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  3. STATEMENT-1 : The graph of y=[sqrt(1-cos2x]) consists of only two line...

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  4. P is a point on the line through the point A whose position vector i...

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  5. ABC is an isosceles triangle. If the co-ordinates of the base are (1, ...

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  6. lim(x->0) (1-cos x cos 2x cos 3x)/ (sin^2 2x) is equal to a) 3/4 b)...

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  7. The straight line x-y-2=0 cuts the axis of x at Adot It is rotated ...

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  8. The value of sin^(-1){cot(sin^(-1)sqrt((2-sqrt(3))/4)+cos^(-1)(sqrt(1...

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  9. The number solution of the equation sgn(x^2)=|x-2| is 1 (b) 0 (c) 2...

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  10. The vectors vec a=3 veco-2 vec j+2 vec k and vec b=- vec i-2 vec k a...

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

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  12. If vec a= hat i+ hat j+ hat k& vec b= hat i-2 hat j+ hat i , then the...

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  13. Find the integral solutions to the equation [x][y]=x+y . Show that all...

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  14. Which of the following is/are correct? If vec a= hat i+ hat j and ve...

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  15. Suppose a1,a2, real numbers, with a1!=0, If a1,a2,a3 are in AdotPdo...

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  16. Consider the function f(x)={(1-a^x+x a^x ln a)/(a^xx^2); x<0(2^xa^x-x ...

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  17. A triangle has two of its sides along the lines y=m1x&y=m2x where m1, ...

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  18. The three vectors hat i+ hat j , hat j+ hat k , hat k+ hat i taken tw...

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  19. The number of integer values of m , for which the x-coordinate of the ...

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  20. If A^2+A+I=0 , then A is non-singular A!=0 (b) A is singular A^(-...

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