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If ax^2+2hxy+by^2+2gx+2fy+c=0 represents...

If `ax^2+2hxy+by^2+2gx+2fy+c=0` represents two parallel lines then prove that the distance between the parallel lines is `2sqrt((g^2-ac)/(a(a+b)))" or "2sqrt((f^2-bc)/(b(a+b)))`.

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SRISIRI PUBLICATION-QUESTION PAPER -SECTION - C
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  2. If ax^2+2hxy+by^2+2gx+2fy+c=0 represents two parallel lines then prove...

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

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

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

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

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

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

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

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

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

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

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

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  14. Find the derivative of x^(tanx)+(sinx)^(cosx) w.r.to x.

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  15. if siny=xsin(a+y) then show that dy/dx=sin^(2)(a+y)/(sina).

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  16. If x^(y)=y^(x) then show that dy/dx=(y(xlogy-y))/(x(ylogx-x)).

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  17. If x^(y) + y^(x) = a^(b) then prove that (dy)/(dx)=-[(yx^(y-1)+y^(x)L...

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  18. If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y) then prove that dy/dx=(sqrt(1-y^...

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  19. If y=xsqrt(a^(2)+x^(2))+a^(2)log(x+sqrt(a^(2)+x^(2))), then show that ...

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

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