1
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
Two sides of a rhombus are along the lines, $$x - y + 1 = 0$$ and $$7x - y - 5 = 0$$. If its diagonals intersect at $$(-1, -2)$$, then which one of the following is a vertex of this rhombus?
A
$$\left( {{{ 1} \over 3}, - {8 \over 3}} \right)$$
B
$$\left( - {{{ 10} \over 3}, - {7 \over 3}} \right)$$
C
$$\left( { - 3, - 9} \right)$$
D
$$\left( { - 3, - 8} \right)$$
2
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The centres of those circles which touch the circle, $${x^2} + {y^2} - 8x - 8y - 4 = 0$$, externally and also touch the $$x$$-axis, lie on :
A
a circle
B
an ellipse which is not a circle
C
a hyperbola
D
a parabola
3
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
If one of the diameters of the circle, given by the equation, $${x^2} + {y^2} - 4x + 6y - 12 = 0,$$ is a chord of a circle $$S$$, whose centre is at $$(-3, 2)$$, then the radius of $$S$$ is :
A
$$5$$
B
$$10$$
C
$$5\sqrt 2 $$
D
$$5\sqrt 3 $$
4
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
The eccentricity of the hyperbola whose length of the latus rectum is equal to $$8$$ and the length of its conjugate axis is equal to half of the distance between its foci, is :
A
$${2 \over {\sqrt 3 }}$$
B
$${\sqrt 3 }$$
C
$${{4 \over 3}}$$
D
$${4 \over {\sqrt 3 }}$$
JEE Main Papers
2023
2021
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12