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Statement-1 : Let z be a complex number ...

Statement-1 : Let `z` be a complex number satisfying `|z-3|lt=|z-1|,|z-3|lt=|z-5|,|z-i|lt=|z+i|a n d|z-i|lt=|z-5i|` . Then the area of region in which `z` lies is 12 sq. unit. Statement-2 : Area of trapezium `=1/2x` (sum of parallel sides) `x` (distance between parallel sides) Statement-1 is correct and Statement-2 is correct and Statement-2 is correct explanation of Statement-1. Statement-1 and Statement-2 both are correct but Statement-2 is not correct explanation of Statement-1 Statement-1 is false but Statement-2 is true. Statement-1 is true but Statement-2 is false

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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. If sin^-1 x=cos^-1 x, then x= 1/sqrt(2) , Statement 2. sin^-1 x+cos^-1 x= pi/2, 1lexlarr1 (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true

Statement 1. In a triangle ABC, if a:b:c=4:5:6, then R:r=16:7 , Statement 2. In a triangle ABC, R:r=abc:4s (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Stastement 2 is true

Statement 1. 2^(sinx)+2^(cosx)ge 2^(1-1/sqrt(2)) for all real x , Statement 2. For positive numbers, AMgeG.M. (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanation of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true

Statement-1 : Dipole-dipole interaction is only non covalent force of interaction for hydrogen bonding. Statement-2 : F is the most electronegative element and HF has symmetrical hydrogen bonding. (1) Statement-1 and Statement-2 are true and Statement-2 is correct explanation of Statemnt-1. (2) Statement-1 and Statement-2 are true but Statement-2 is not correct explanation of Statement-1. (3) Statement-1 is true and Statement-2 is false. (4)Statement-1 is false and Statement-2 is false.

Statement -1 (1/2)^7lt(1/3)^4 implies 7log(1/2)lt4log(1/3)implies7lt4 Statement-2 If axltay , where alt0 ,x, ygt0 , then xgty . (a) 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 (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.

Statement-1: int((x^2+1)/x^2)e^((x^2+1)/x^(2))dx=e^((x^2+1)/x^(2))+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.

Let A be a 2""xx""2 matrix Statement 1 : a d j""(a d j""A)""=""A Statement 2 : |a d j""A|""=""|A| (1) Statement1 is true, Statement2 is true, Statement2 is a correct explanation for statement1 (2) Statement1 is true, Statement2 is true; Statement2 is not a correct explanation for statement1. (3) Statement1 is true, statement2 is false. (4) Statement1 is false, Statement2 is true

If A is 2 x 2 invertible matrix such that A=adjA-A^-1 Statement-I 2A^2+I=O(null matrix) Statement-II: 2|A|=1 (i) 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) Statement-I is false, Statement-II is true.

RESONANCE DPP-JEE MAINS-All Questions
  1. If A , B ,C are angles of a triangles, then the value of |[e^(2i A),...

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  2. Sum of all the solutions of the equation : tan^2 33x = cos2x - 1 which...

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  3. Statement-1 : Let z be a complex number satisfying |z-3|lt=|z-1|,|z-3|...

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  4. If 0ltaltbltc and the roots alpha,beta of equation a="" x^2+b="" x+c="...

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  5. If a^2+b^2=1 t h e n (1+b+i a)/(1+b-i a)= 1 b. 2 c. b+i a d. a+...

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  6. The graph of the function y=cos xcos(x+2)-cos^2(x+1) is: (A) &n...

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  7. If in a triangle A B C ,(a+b+c)(b+c-a)=kdotb c ,t h e n : k<0 b. k >6...

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  8. A round balloon of radius r subtends an angle alpha at the eye of the ...

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  9. If f^(prime)(1)=-2sqrt(2)a n dg^(prime)(sqrt(2))=4 , then the derivati...

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  10. Let an be the n^(t h) term of an A.P. If sum(r=1)^(100)a(2r)=alpha&su...

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  11. Let vectors vec a , vec b , vec c ,a n d vec d be such that ( vec ax...

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  12. A normal is drawn at point P(a ,a^n) on the curve =x^n in the first qu...

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  13. Sum of all the numbers between 1 and 1000 which are divisible by 3 i...

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  14. int(cos^3x)/(sqrt(sin^7x))dx= 2/5dotcos e c^(7/2)x+2sqrt(cose c x)+c...

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  15. Given an A.P. whose terms are all positive integers. The sum of its fi...

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  16. If a, b, c are in A.P. and b-a, c-b, a are in G.P. then a:b:c=?

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  17. Evaluate: int(x+1)/(x(1+xe^x)^2)dx

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  18. Let the sequence a1,a2,a3, ,an from an A.P. Then the value of a1 2-a2 ...

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  19. If int0^a(dx)/(sqrt(x+a)+sqrt(x))=int0^(pi/8)(2tantheta)/(sin2theta)dt...

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  20. The sum of the first three terms of an A.P. is 9 and the sum of their ...

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