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If A(x1,y1),B(x2,y2) and C(x3,y3) are th...

If `A(x_1,y_1),B(x_2,y_2) and C(x_3,y_3)` are the vertices of traingle ABC and `x_(1)^(2)+y_(1)^(2)=x_(2)^(2)+y_(2)^(2)=x_3^(2)+y_(3)^(2)`, then show that `x_1 sin2A+x_2sin2B+x_3sin2C=y_1sin2A+y_2sin2B+y_3sin 2C=0`.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
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  2. Orthocenter and circumcenter of a Delta A B C are (a , b)a n d(c , d) ...

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  3. If A(x1,y1),B(x2,y2) and C(x3,y3) are the vertices of traingle ABC and...

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  4. The points (a , b),(c , d), and ((k c+l a)/(k+l),(k d+l b)/(k+l)) are ...

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  5. The circumcenter of the triangle formed by the line y=x ,y=2x , and ...

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  6. The line joining A (b cos alpha, b sin alpha ) and B (a cos beta, a si...

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  7. If the middle points of the sides of a triangle are (-2,3),(4,-3),a...

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  8. In what ratio does x-axis divide the line segment joining (2, -3) and ...

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  9. If (1,4) is the centroid of a triangle and the coordinates of its a...

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  10. If (xi ,yi),i=1,2,3, are the vertices of an equilateral triangle s...

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  11. A particle just clears a wall of height b at distance a and strikes...

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  12. Find the locus of a point, so that the join of (-5,1) and (3,2) subten...

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  13. The sum of the squares of the distances of a moving point from two ...

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  14. A B is a variable line sliding between the coordinate axes in such ...

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  15. A rod of length l slides with its ends on two perpendicular lines. ...

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  16. Find the locus of the point (t^2-t+1,t^2+t+1),t in R.

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  17. Find the locus of a point such that the sum of its distance from the...

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  18. Two points P(a,0) and Q(-a,0) are given. R is a variable point on o...

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  19. If the coordinates of a variable point P are (acostheta,bsintheta), wh...

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