SAMPLE QUESTIONS
1. A point moves in such a way that its distance from (1,-2) is always the twice from (-3,5) , then locus of the point is
a) $3\left (x^{2} + y^{2} \right ) + 26x - 44y + 131$ = 0
b) $3x^{2} + y^{2} + 26x + 44y - 131$ = 0
c) $x^{2} + 3y^{2} - 26x + 44y - 131$ = 0
d) None of the above
2. Statement-I The equation $13x^{2} - 18xy = 37 y^{2} + 2x + 14y - 2$ = 0 represents an ellipse.
Statement-II The square of the coefficient of xy is less than the product of coefficient of $x^{2}$ and $y^{2}$ is only condition.
a) Statement-I is false, Statement-II is true
b) Statement-I is true, Statement-II is true; Statement-II is a correct explanation for statement-I
c) Statement-I is true, Statement-II is true; Statement-II is not a correct explanation for Statement-I
d) Statement-I is true, Statement-II is false