If tangents are drawn to the parabola \[{{y}^{2}}=4ax\]at points whose abscissae are in the ratio \[{{m}^{2}}:1,\] then the locus of their point of intersection is the curve \[\left( m>0 \right)\]

\[{{y}^{2}}={{({{m}^{1/2}}+{{m}^{-1/2}})}^{2}}x\]

\[{{y}^{2}}={{({{m}^{1/2}}-{{m}^{-1/2}})}^{2}}ax\]

\[{{y}^{2}}={{({{m}^{1/2}}+{{m}^{-1/2}})}^{2}}ax\]

If tangents are drawn to the parabola \[{{y}^{2}}=4ax\]at points whose

1.	If tangents are drawn to the parabola \[{{y}^{2}}=4ax\]at points whose abscissae are in the ratio \[{{m}^{2}}:1,\] then the locus of their point of intersection is the curve \[\left( m>0 \right)\]
A.	\[{{y}^{2}}={{({{m}^{1/2}}-{{m}^{-1/2}})}^{2}}ax\]
B.	\[{{y}^{2}}={{({{m}^{1/2}}+{{m}^{-1/2}})}^{2}}ax\]
C.	\[{{y}^{2}}={{({{m}^{1/2}}+{{m}^{-1/2}})}^{2}}x\]
D.	None of these
Answer» C. \[{{y}^{2}}={{({{m}^{1/2}}+{{m}^{-1/2}})}^{2}}x\]

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If tangents are drawn to the parabola \[{{y}^{2}}=4ax\]at points whose abscissae are in the ratio \[{{m}^{2}}:1,\] then the locus of their point of intersection is the curve \[\left( m>0 \right)\]

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