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Let (x,y) be such that sin-1 (ax) + co...

Let `(x,y)` be such that `sin_-1 (ax) + cos ^-1 (y) + cos ^-1 (bxy)=pi/2` Match the statement in Column I with the properties in Column II and indicate your answer by darkening the appropriate bubbles in the `4 xx 4` matrix.

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A DAS GUPTA-Some New Pattern Problems-Exercise
  1. Match the statement in Column I with the properties in Column II and ...

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  2. Consider the following linear equations ax+ by+cz=0, bx+ cy+az=0, cx+ ...

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  3. Let (x,y) be such that sin-1 (ax) + cos ^-1 (y) + cos ^-1 (bxy)=pi/2...

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  4. Let f(x) =(x^2-6x +5) / (x^2 -5x +6) Match the statement in Column I w...

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  5. Consider the lines give by L1: x+3y -5=0, L2:3x - ky-1=0, L3: 5x +2y ...

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  6. Consider all possible permulations of letter of the word ENDEANOEL.

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  8. Match the statements/expressions given in Column I with the values giv...

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  9. Match the statements/expressions given in Column I with the values giv...

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  10. Match the statements/expressions given in Column I with the values giv...

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  11. Match the statements/expressions given in Column I with the values giv...

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  12. Match the statements/expressions given in Column I with the values giv...

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  13. Let (x, y, z) be points with integer coordinates satisfying the system...

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  14. Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...

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  15. The centres of two circles C1 and C2, each of unit radius are at a dis...

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  16. Let p(x) be a polynomial of degree 4 having extremum at x = 1,2 and l...

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  17. The maximum value of the function f(x)=2x^(3)-15x^(2)+36x-48 on the se...

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  18. If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x), then the value ...

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  19. Let f:R rarr R be a continous function which satisfies f(x)= int (0)^(...

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  20. The smallest value of k for which both the roots of the equation x^2-8...

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