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Let AB be a line segment of length 4 uni...

Let AB be a line segment of length 4 unit with the point A on the line y=2x and B on the line y=x. Then locus of middle point of all such line segment is

A

a parabola

B

an ellipse

C

a hyperbola

D

a circle

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The correct Answer is:
B
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PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
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  2. Let A be any variable point on the X-axis and B the point (2,3). The p...

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  3. Let AB be a line segment of length 4 unit with the point A on the line...

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  4. The equation of the diagonal, through the origin, of the quadrilateral...

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  5. The number of integral values of 'm' for which the x coordinate of the...

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  6. Let 2x-3y=0 be a given line and P(sintheta, 0) and Q(0, costheta) be t...

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  7. The equations of the lines through (-1,-1) and making angle 45^@ with ...

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  8. The equations of the lines through the point (1,2) whose distance from...

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  9. The line segment joining the points (1,2) and (-2, 1) is divided by th...

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  10. If a ray travelling the line x=1 gets reflected the line x+y=1, then t...

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  11. The value of lambda so that the equation lambda x^2+2xy+lambday^2+4x+4...

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  12. If pairs of straight lines x^2-2pxy-y^2=0and x^2-2qxy-y^2=0 be such th...

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  13. The equation sqrt({(x-2)^2+y^2})+sqrt({(x+2)^2+y^2})=4 represents

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  14. If the lines represented by x^2-2pxy-y^2=0 are rotated about the origi...

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  15. Product of the perpendiculars from (alpha, beta) to the lines ax^2+2hx...

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  16. The gradient of one of the lines ax^2+2hxy+by^2=0 is twice that of the...

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  17. If pairs of straight lines x^2-2pxy-y^2=0and x^2-2qxy-y^2=0 be such th...

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  18. If one of the pair of lines ax^2+2hxy+by^2=0 bisects the angle between...

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  19. If the quadratic equation ax^2+bx+c=0 has -2 as one of its roots, then...

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  20. The lines 2x-y-1=0, ax+3y-3=0 and 3x+2y-2=0 are concurrent for

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