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SRISIRI PUBLICATION-IPE:MARCH-2015 (AP)-IPE:MARCH-2015(AP) MATHS-1B
- Find the angle between the planes 2x - y + z = 6 and x + y + 2 z = 7 .
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- If (3,2,-1),(4,1,1) and (6,2,5) are three vertices and (4,2,2) is the ...
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- Compute "Lt"(x to0)(a^x-1)/(b^x-1),(a gt0,bgt0,bne1)
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- Show that Lt(x to0+)((2|x|)/x+x+1)=3.
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- IF y-tan^-1((2x)/(1-x^2)), find (dy)/(dx).
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- If y=ae^(nx)+be^(-nx), then prove that y''=n^(2)y.
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- If y=x^(2)+x,x=10,Deltax=0.1, then find Deltay and dy
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- Verify Rolle's theorem of the function log(x^2+2)-log 3 on (-1,1)
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- Find the equation of the locus of P, if A=(2,3), B=(2,-3) and PA +PB =...
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- When the axes are rotated through an angle pi//6. Find the transformed...
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- Find the points on the line 3x-4y-1=0 which are at a distance of 5 uni...
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- Is f given by f(x)={{:((x^(2)-9)/(x^(2)-2x-3),"if "0ltxlt5andxne3),(1....
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- Find the derivative of xsinx from the first principle.
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- The volume of a cube is increasing at a rate of 8 cubie centimeters pe...
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- A particle is moving in a straight line so that after 't' seconds its ...
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- Find the orthocentre of the triangle formed by the vertices (-2,-1),(6...
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- Show that the lines joining the origin to the points of intersection o...
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- y=xsqrt(a^2+x^2)+a^2log(x+sqrt(a^2+x^2)), then show that(d y)/(d x)=2s...
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- Find the positive integers x and y such that x+y=60 " and " xy^(3) is...
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- S.T the curves 6x^2-5x+2y=0,4x^2+8y^2=3 touch each other at (1/2,1/2).
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