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Show that the lines joining the origin w...

Show that the lines joining the origin with the points of intersection of the curve `7x^2-4xy+8y^2+2x-4y-8=0` with the line `3x-y=2` are mutually perpendicular.

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Show that the lines joining the origin to the points of intersection of the curve x^2+xy+y^2+3x+3y-2=0 and the straight line x-y-sqrt2=0 are mutually perpendicular .

Find the value if k , if the lines joining the origin with the points of intersection of the curve 2x^(2)-2xy+3y^(2)+2x-y-1=0 and the x + 2y = k are mutually perpendicular .

Find the equation to the pair of lines joining the origin to the points of intersection of the curve 7x^(2)-4xy+8y^(2)+2x-4y-8=0 with the striaht line 3x-y=2 and the angle between them.

If the straight lines joining the origion with the points of intersection of the curve 3x^2-xy+3y^2+2x-3y+4=0 & the line 2x+3y=k are perpendicular then prove that 6k^2-5k+52=0 .

Find the angle between the lines joining the origin to the points of intersection of the curve x^2+2xy+y^2+2x+2y-5=0 and the line 3x-y+1=0.

SRISIRI PUBLICATION-QUESTION PAPER -SECTION - C
  1. Find the angle between the lines joining the origin to the points of i...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Find the angle between the curves xy=2 and x^(2)+4y=0

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  19. The sum of the intercepts on the coordinate axes of any tangent to sqr...

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  20. Show that the tangent at P(x(1),y(1)) on the curve sqrt(x)+sqrt(y)=sqr...

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