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Prove that (coshx-sinhx)^(n)=cosh(nx)-si...

Prove that `(coshx-sinhx)^(n)=cosh(nx)-sinh(nx)`

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SRISIRI PUBLICATION-QUESTION PAPER -SECTION - C
  1. Prove that (coshx-sinhx)^(n)=cosh(nx)-sinh(nx)

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  2. Find the circumcentre of the triangle whose vertices are (1,3) (-3,5) ...

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  3. Find the orthocentre of the triangle formed by the vertices (-2,-1),(6...

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

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  5. Find the circumcentre of the triangle whose sides are given by x+y=0, ...

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  6. If Q(h,k) is the foot of the perpendicular of P(x(1),y(1)) on the line...

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  7. If Q(h,k) is the foot of the perpendicular of P(x(1),y(1)) on the line...

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  8. Find the centroid and the area of the triangle formed by the lines 12x...

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  9. If ax^2+2hxy+by^2+2gx+2fy+c=0 represents two parallel lines then prove...

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  10. If ax^2+2hxy+by^2+2gx+2fy+c=0 represents two parallel lines then prove...

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  11. If ax^2+2hxy+by^2+2gx+2fy+c=0 represents two parallel lines then prove...

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  12. Find the angle between the lines joining the origin to the points of i...

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

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  14. Show that the lines joining the origin with the points of intersection...

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  15. Find the condition for the chord lx + my=1 of the circle x^(2)+y^(2)=a...

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  16. Find the angle between the lines whose d.c's are related by l + m + n ...

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  17. Find the direction cosines of the two lines which are connected by the...

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

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  19. If a line makes angles alpha, beta, lambda,delta with the four diagon...

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  20. If y=Tan^""(-1)((sqrt((1+x^(2)))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-...

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

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