The straight line y=x+4 cuts the circle x ^ 2 + y ^ 2 = 2t at P and Q.
a. Calculate the coordinates of P and Q.
b. Sketch the circle and the straight line on the same system of axes. Label points P and Q.
c. Determine the coordinates of H, the mid-point of chord PQ.
d. If O is the center of the circle, show that PQIOH.
e. Determine the equations of the tangents to the circle at P and Q.
f. Determine the coordinates of S, the point where the two tangents intersect.
g. Show that S, H and O are on a straight line.
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padhliya kar! noob by brain teacher manu
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