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A variable straight line AB intersecting...

A variable straight line AB intersecting the x and y-axies at A and B always passes through a fixed point `(alpha,beta)` . Find the locus of the point dividing AB in the ratio `2:1`.

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The correct Answer is:
`(alpha)/(x)+(2beta)/(y)=3`
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CHHAYA PUBLICATION-STRAIGHT LINE-EXERCISE 2A (Long Answer Type Questions )
  1. A straigh line passes through the point (2,3) and is such that the s...

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  2. Two straight lines , drawn through the origin , trisect the portion of...

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  3. A variable straight line AB intersecting the x and y-axies at A and B...

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  4. A straight line passes through the point (2,3) and forms a triangle of...

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  5. A straight line forms a right angled triangle with the axes of coordin...

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  6. The exptrmities of the base of an isosceles triangle have coordinates ...

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  7. Find the ratio in which the straight line 5x+4y=4 divides the join of ...

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  8. A(2,5) and B(-3,-4) are two fixed points , the point P divides the li...

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  9. A straight line has slope (3)/(4) and it passes through the point A(-...

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  10. A straight line passes through the point A(1,2) and makes an angle the...

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  11. Find the equations to the straight lines which are at a distance of 1...

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  12. Show that the line joining the origin and (2,3) is concurrent with the...

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  13. Prove that the straight lines ax+(b+c)y+d=0,bx+(c+a)y+d=0andxc+(a+b)y+...

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  14. Find the condition so that the lines xcosalpha+ysinalpha=p,xcosbeta+ys...

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  15. If ab +bc+ca=0 , show that the lines (x)/(a)+(y)/(b)=(1)/(c),(x)/(b)+(...

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  16. The variable coefficients p,q,r in the equation of the staight line px...

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  17. Show that the area of the triangle formed by the straight lines y...

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  18. A variable straight line through the point of intersection of the two ...

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  19. 3x+2y=8 in this given straight line find the gradient and y intercept.

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