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Prove that if '(x, y)' be a point on the...

Prove that if '(x, y)' be a point on the circle with the line joining '(0,1)' and '(2,3)' as diameter, then 'x^2+y^2-2 x-4 y+' '3=0'. Find the coordinates of the points where this circle cuts the 'y' axis:

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V PUBLICATION-GEOMETRY AND ALGEBRA-QUESTION BANK
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  2. Find the equation of the circle with centre at the origin and radius '...

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  6. We have seen that the points (3,5),(6,7),(9,9) are points on the same ...

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  9. If a circle is drawn with centre as origin and radius 2, then how many...

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  10. Prove that for all points on the line joining the origin and the point...

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  11. What is the equation of the line joining the points '(1,3),(2,7) ?' Pr...

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  12. What is the point at which the line 2 x+ 4 y-1=0 cuts the x -axis? W...

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  13. Prove that the equations 3 x+2 y+5=0 and 3 x+2 y-1=0 are parallel. W...

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  14. a) If 'C(-1, k)' is a point on the line passing through the point 'A(2...

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  15. C' is the centre of the circle passing through the origin. Circle cúts...

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  16. A circle is drawn with the origin as centre. It passes through the po...

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  17. The coordinates of the vertices of a triangle are 'A(1,1), B(5,5) , C(...

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  18. A circle with centre '(3,4)' passes through the origin. a) What is th...

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  19. Find the slope of the line joining '(2,4)' and '(4,7)'. Write the coor...

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  20. Find the length of line joining 'A(-2,-3)' and 'B(4,5)'. write the equ...

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