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A straight line with slope 1 passes thro...

A straight line with slope 1 passes through Q(-3,5) and meets the straight line x+y-6=0 at P. Find the distance PQ.

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SRISIRI PUBLICATION-IPE:MARCH-2015(TS)-IPE:MARCH-2015(TS) MATHS-1B
  1. Compute lim(x to a ) (tan(x-a))/(x^2-a^2)(a ne 0).

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  2. Compute lim(x to 0 ) ((e^x-1)/(sqrt(1+x)-1))

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  3. Find the derivative of y=sqrt(2x-3)+sqrt(7-3x).

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  4. Find the derivative of y=Sin^-1((2x)/(1+x^2))

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  5. If y=x^2+3x+6 then find triangley and dy when x=10, trianglex=0.01.

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  6. Verify Rolle's theorem for the function y=f(x)=x^2+4on [-3,3]

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  7. A(5,3) and B(3,-2) are 2 fixed points. Find the equation of locus of P...

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  8. When the axes are rotated through an angle 45^@, the transformed equat...

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  9. A straight line with slope 1 passes through Q(-3,5) and meets the stra...

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  10. If f is given by f(x)={{:(k^(2)x-k,"if "xge1),(2,"if "xlt1):} is a co...

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  11. Find the derivative of x^3 from the first principle.

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  12. A particle is moving along a line according s=f(t)=4t^3-3t^2+5t-1 wher...

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  13. Determine the intervals in which f(x)=2/((x-1))+18x,AAx in R-{0} is st...

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  14. Find the orthocentre of the triangle whose sides are 7x+y-10=0, x-2y+5...

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  15. Prove that the line lx+my+n=0 and the pair of lines (lx+my)^2-3(mx-ly)...

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  16. Find the value if k , if the lines joining the origin with the points ...

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  17. Find the angle between the lines, whose direction cosines are given by...

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  18. Find the derivative of (sinx)^(log x)+x^(sinx).

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  19. IF the tangent at a point on the curve x^(2//3)+y^(2//3)=a^(2//3) inte...

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  20. A window is in the shape of a rectangle surmounted by a semi-circle. I...

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