Questions
The tangent at any point to the circle meets the coordinate axes at A and B. If the lines drawn parallel to the coordinate axes through A & B intersect at P. Then the locus of P is
detailed solution
Correct option is C
Equation of tangent at R(rcosθ,rsinθ) is xcosθ+ysinθ=r −−−−(1)Arcosθ,0,B0,rsinθ Let P(h,k) then h=rcosθ,k=rsinθcosθ=rh,sinθ=rk∴1=r21h2+1k2 Required locus x−2+y−2=r−2Talk to our academic expert!
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The area of the quadrilateral formed by the tangents from the point (2, -1) to the circle
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