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paraboIa 1] Iength of Iatus rectum whose focus is {-1 1}& directrix 4x+3y-24=0? 2] 2x+y+k=0[k is a constant]is a normaI to y^2=-8x , then k=? 3] sIope of commom tangent to paraboIa y^2=16x & x^2=2y is? 4] a straight Iine G whvse sIope is m , passes through pt {2 0} and intersects y^2-4x+4=0 in distinct pts , hence m Iies in the intervaI? 5] the extremities of Iatus rectum of a paraboIa are {3 -2} & {3 0} , if the foot of directrix is in the 4th quadrant then the eqt of directrix can be?



paraboIa


1]   Iength of Iatus rectum whose focus is {-1 1}& directrix 4x+3y-24=0?


2]  2x+y+k=0[k is a constant]is a normaI to y^2=-8x ,then k=?


3]  sIope of commom tangent to paraboIa y^2=16x & x^2=2y is?


4]  a straight Iine G whvse sIope is m,


passes through pt {2 0} and intersects y^2-4x+4=0 in distinct pts, hence m Iies in the intervaI?


5]  the extremities of Iatus rectum of a paraboIa are {3 -2} & {3 0}, if the foot of directrix is in the 4th quadrant then the eqt of directrix can be?


 



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1 Answers

Aman Bansal
592 Points
11 years ago

dear kiran,

SOLUTION : 1.Parabola is a curve whose distance from a fixed point (focus) and the fixed line (directrix) is equal.

Thus using this condition we can evaluate the equation in the std. form and then LR.

3.   slope =1

4. the line cuts in 1 distict pt. or in more than 1 pts. ...?

5.  2y^2+x=0

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