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If m, n are the order and degree of the differential equation `[(d^(4)y)/(dx^(4))+(d^(2)y)/(dx^(2))]^((1)/(2))=a(d^(2)y)/(dx^(2))` respectively, then the value of `4m-n` is

A

15

B

12

C

14

D

13

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SURA PUBLICATION-MODAL QUESTION PAPER-PART - IV
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  3. Find the value of k for which the equations kx-2y+z=1, x-2ky+z=-2,x-2y...

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  4. Suppose z(1),z(2)andz(3) are the vertices of an equilateral triangle i...

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  5. If z = x + iy and arg((z - i)/(z + 2))= (pi)/(4). Show that x^(2) + y^...

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  6. If 2+iand3-sqrt2 are the roots of the equation x^(6)-13x^(5)+62x^(4)-1...

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  7. Find the value of tan^(-1)(-1)+cos^(-1)(1/2)+sin^(-1)((-1)/2)

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  8. If cot^(-1)((1)/(7))=theta, find the value of costheta.

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  12. Prove by vector method that the perpendiculars (altitudes) from the ve...

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  14. Solve the following systems of linear equation by Cramer's rule: 3x...

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  16. If z = x + iy and arg ((z-1)/(z+1))=pi/2, show that x^(2)+y^(2)-1=0.

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  17. Sketch the graph of sinx in [-pi/2,pi/2]andsin^(-1) in [-1, 1].

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  18. Find the equation of the ellipse whose eccentricity is 1/2, one of the...

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