jee-main 2017 Q67

jee-main · India · 08apr Circles Circle-Related Locus Problems

The locus of the point of intersection of the straight lines, $t x - 2 y - 3 t = 0$ and $x - 2 t y + 3 = 0 ( t \in R )$, is:
(1) A hyperbola with the length of conjugate axis 3
(2) A hyperbola with eccentricity $\sqrt { 5 }$
(3) An ellipse with the length of major axis 6
(4) An ellipse with eccentricity $\frac { 2 } { \sqrt { 5 } }$

The locus of the point of intersection of the straight lines, $t x - 2 y - 3 t = 0$ and $x - 2 t y + 3 = 0 ( t \in R )$, is:\\
(1) A hyperbola with the length of conjugate axis 3\\
(2) A hyperbola with eccentricity $\sqrt { 5 }$\\
(3) An ellipse with the length of major axis 6\\
(4) An ellipse with eccentricity $\frac { 2 } { \sqrt { 5 } }$

Paper Questions

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