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Find the equation of the plane which contain the line of intersection of the plane `vecr.(hati+2hatj+3hatk)-4=0` and `vecr.(2hati+hatj-hatk)+5=0` and which is perpendicular to the plane `5x+3y-6z+8=0`.

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Find the equation of the plane which contains the line of intersection of the planes vecr cdot(hati+2hatj+3hatk) - 4 = 0 and vecr cdot (2hati + hatj - hatk) +5 = 0 and which is perpendicular to the plane vecr cdot (5hati+3hatj-6hatk) +8 =0

Find the equations of the plane which contains the line of intersections of the planes vecr.(hati-2hatj+3hatk)-4=0 and vecr.(-2hati+hatj+hatk)+5=0 and whose intercept on x-axis is equal to the on y-axis.

Find the equation of the plane passing through the line of intersection of the planes vecr cdot (hati+hatj+hatk) = 1 and vecr cdot(2hati+3hatj-hatk)+4 = 0 and parallel to x-axis.

Find the vector equation of the plane passing through the intersection of the planes vecr.(hati+hatj+hatk) =6 and vecr.(2hati+3hatj+4hatk)=-5 and point (1,1,1)

Find the equation of the plane passing through the line of intersection of the planes : vecr*(hati+3hatj)-6=0 and vecr*(3hati-hatj-4hatk)=0 , whose perpendicular distance form origin is unity.

Find the equations of the plane through the intersection of the planes vecr.(hati-1hatj)=-6 and vecr.(3hati+3hatj-4hatk)=0 , whose perpendicular distance form the origin is unity.

Find the vector equation of the plane passing through the intersection of the planes : vecr*(2hati-hatj+2hatk)=2 and vecr*(3hati+hatj-2hatk)=-2 and perpendicular to the veca=5hati-2hatj+3hatk .

Find the acute angle between the planes vecr.(hati+2hatj-hatk)=3 and vecr.(2hati-hatj+2hatk)=2 .

Find the angle between the planes : vecr*(2hati+2hatj-3hatk)=5 and vecr*(3hati-3hatj+5hatk)=3

Find the vector equation of the line passing through (1, 2, 3) and parallel to the planes vecr.(hati-hatj+2hatk)=5 and vecr.(3hati+hatj+hatk)=6.

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  6. I.F. Of the differential equation dy/dx+2y=e^(2x) is :

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  7. If f(x)= {(mx+1,,x,le,5),(3x-5,,x,>,5):} is continuous, then the value...

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  8. d/dx(e^(2sin^-1x)) =

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  14. The length of the perpendicular drawn from the origin to 2x-3y+6z+21=0

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  15. A line makes 90^@, 135^@, 45^@ with x, y and z axes respectively than ...

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  16. The point does not lie in half plane x + 2y le 10 is

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  17. If a four digit number is formed by using the digits 1,2,3 and 5 with ...

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  18. If [[e^x,e^y],[e^y,e^x]] = [[1,1],[1,1]] then (x,y) =

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  19. If A = [[2x,5],[6,3]] is singular then x^2 =

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  20. d/dx{tan^-1((x+a)/(1-ax))} =

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  21. Slope of normal to the line 2x-3y+4=0 is

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