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A solution of the system of equations x-...

A solution of the system of equations `x-y=1/3` and `cos^2pix-sin^2πy=1/2` is given by

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RESONANCE DPP-JEE MAINS-All Questions
  1. If f(x)=|(cos(x+alpha),cos(x+beta),cos(x+gamma)),(sin(x+alpha),sin(x+b...

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  2. Number of solutions of the simultaneous equations |x| + |y|=3 and sin ...

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  3. A solution of the system of equations x-y=1/3 and cos^2pix-sin^2πy=1/2...

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  4. Number of roots of equation 3^(|x|)-|2-|x||=1 is a. 0 b. 2 c. 4 d. 7

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  5. If lines x=y=za n dx=y/2=z/3 and third line passing through (1,1,1) fo...

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

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  7. The number of four-digit numbers that can be made with the digits 1...

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  8. The third term of a G.P. is the square of the first term. If the secon...

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  9. Urn A contains 2 white, 1 black and 3 red balls, urn B contains 3 w...

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  10. alpha,beta,gammaa n ddelta are the smallest positive angle in ascendin...

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  11. For the 3 events A, B and C, P (atleast one occurring) = 3/4, P(atleas...

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  12. The sum of three numbers in A.P. is 27, and their product is 504, find...

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  13. Find the sum of all those integers between 100 and 800 each of which o...

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  14. Simplify: x/(x-y)-y/(x+y)-(2x y)/(x^2-y^2)

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  15. There are two die A and B both having six faces. Die A has three faces...

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

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  17. A line with directional cosines prontional to 2, 1,2 meets each of the...

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

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  19. the lines (x-2)/1 = (y-3)/1 = (z-4)/-k and (x-1)/k = (y-4)/1 = (z-5)/1...

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

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