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Consider the following linear equations ...

Consider the following linear equations `ax+ by+cz=0, bx+ cy+az=0, cx+ ay+bz=0. 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 given in the ORS.

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A DAS GUPTA-Some New Pattern Problems-Exercise
  1. In the following [x] denotes the greatest integer less than for equal ...

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  2. Match the statement in Column I with the properties in Column II and ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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