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From differential equation representing the family of lines making equal intercepts on the co-ordinate axes.

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Differential equation representing the curve : y=cos x is :

Form the differential equation representing the family of ellipses having foci on x-axis and centre at the origin.

Form the differential equation of the family of circles in the first quadrant which touch the coordinate axes.

Form the differential equation of the family of circles in the second quadrant and touching the coordinate axes.

Form the differential equation representing the family of parabolas having vertex at origin and axis along positive direction of x-axis.

OMEGA PUBLICATION-PUNJAB BOARD-MATHEMATICS 2018-SERIES -B
  1. Find the angle between the plane 2x + 3y-5z = 10 and the line passing ...

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  2. If matrix A = [aij]3 xx 2 and aij = ( 3i - 2j )^2, then find matrix A.

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  3. From differential equation representing the family of lines making equ...

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  4. If P(A) = 7/13 , P(B) = 9/13 and P (A u B) = 12/13 then find P(A / B).

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  5. Check whether Lagrange 's mean value theorem is applicable on : f (x) ...

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  6. Evaluate : int (7dx)/(x(x^2-1)).

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  7. If y=x^(tanx)+(tanx)^(x), then find (dy)/(dx).

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  8. Using differentials find approximate value of (0.37)^(1/2)

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  9. Evaluate int(x^(2)-1)/(x^(4)+1)dx

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  10. Evaluate int(dx)/(x^3-1)

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  11. If veca=2hati-3hatj+4hatk and vecb=5hati+hatj-hatk represents sides of...

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  12. Two cards are drawn (without replacement) from a well shuffled deck of...

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  13. Find the particular solution of differential equations : [x sin^2(y/x)...

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  14. Find the particular solution of differential equation : tan x dy/dx+y=...

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  15. Prove that function f: RrarrR, f(x)=(3x-2)/7 in one-one and onto. Also...

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  16. Exress [(2,5,-1),(3,1,5),(7,6,9)] as a sum of a symmetric matrix and a...

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  17. If x,y,z are different and Delta= {:|(x,x^2,1+x^3),(y,y^2,1+y^3),(z,z^...

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  18. Prove that : sin^(-1)(5/13)+cos^(-1)(4/5)=1/2sin^(-1)(3696/4225).

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  19. Find the area of the region bounded by the elipse (x^(2))/9+(y^(2))/4=...

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  20. A window is in the form of rectangle surmounted by a semi-circular ope...

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