Test Index

JEE Advanced 2017 Paper 1

Paragraph for Next 2 Questions

Column 1, 2 and 3 contains conics, equations of tangents to the conics and points of contact, respectively.

Column 1	Column 2	Column 3
(I) $x^2+y^2=a^2$	(i) $my=m^2x+a$	$(Q) \left(\frac{a}{m^{2}},\frac{2a}{m}\right)$
(II) $x^{2}+a^{2}y^{2}=a^{2}$	(ii) $y=mx+a\sqrt{m^{2}+1}$	(Q) $\left(\frac{-ma}{\sqrt{m^{2}+1}},\frac{a}{\sqrt{m^{2}+1}}\right)$
(III) $y^{2}=4ax$	(iii) $y=mx+\sqrt{a^{2}m^{2}-1}$	(R) $\left(\frac{-a^{2}m}{\sqrt{a^{2}m^{2}+1}},\frac{1}{\sqrt{a^{2}m^{2}+1}}\right)$
(IV) $x^{2}-a^{2}y^{2}=a^{2}$	(iv) $y=mx+\sqrt{a^{2}m^{2}+1}$	(S) $\left(\frac{-a^{2}m}{\sqrt{a^{2}m^{2}-1}},\frac{-1}{\sqrt{a^{2}m^{2}-1}}\right)$