1) if parabola y2=px passes through point (2,-3),find the length of latus rectum .
2) find the value of p so that the equation x2 +y2 - 2px+ 4y - 12=0 may represent a circle of radius 5 units .
3) one end of the diameter of a circle x2+y2-6x+5y-7=0 os (7,-8).find the co-ordinates of other end
Now, substituting in the given parabola, we get
Next, comparing equation (1) with the equation of the parabola , we get
Now we know that the length of latus rectum is 4a. So, using equation (2)
Length of the latus rectum = 4a
Therefore, the length of the latus rectum is
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