hyperbola

from the point p[1,√3] on the circle x2+y2=4 a tangent is drawn to the hyperbola x2/4-y2/1=1which meets its transverse axis at q.from q a line is drawn parallel to congugate axis ,which cuts the hyperbola at r above the x- axis ,then pr=

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u noe d point on d circle u can find d equation of d tangent nw d tangent cuts d xaxis (transverse axis) u can find it by susbtitutin y=0 ind tangent equation
nw a line parallel to conjugate ie y axis it will hav x cordinate same ie u get 4 and y cordinate as r bt this point (4,r) lies on d hyeprbola so u get r and then use disytnce formula

cheero~

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