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If in a triangle A B C ,(a+b+c)(b+c-a)=k...

If in a triangle `A B C ,(a+b+c)(b+c-a)=kdotb c ,t h e n: `

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If a^2+b^2=1t h e n(1+b+i a)/(1+b-i a)= 1 b. 2 c. b+i a d. a+i b

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

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  3. If in a triangle A B C ,(a+b+c)(b+c-a)=kdotb c ,t h e n:

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  4. A round balloon of radius r subtends an angle at the eye of the observ...

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  5. If f^(prime)(1)=-2sqrt(2) and g^(prime)(sqrt(2))=4 , then the derivati...

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  6. Let a(n) be the nth term of an AP, if sum(r=1)^(100)a(2r)= alpha " and...

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  7. Let vectors vec a , vec b , vec c ,a n d vec d be such that ( vec axx...

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  8. The fourth term of the sequence 1/(1+sqrt(x)),1/(1-x),1/(1-sqrt(x)), ...

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  9. At the point P (a,a^(n)) on the graph of y=x^(n),(n in N), in the firs...

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

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

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

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  13. Evaluate: int1/(sin^4x+cos^4x)dx

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

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  16. If the sequence a1, a2, a3,....... an ,dot forms an A.P., then prove ...

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

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  18. The sum of the first three terms of an arithmetic progression is 9 and...

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  19. int("sin"2"x")/(sin5x .sin3x)dx a.1/3ln|sin3x|+1/5ln|sin5x|+c b. ...

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  20. A postman delivered daily for 42 days 4 more latters each day than on ...

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