1
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Let P be a point on the ellipse $${{{x^2}} \over 9} + {{{y^2}} \over 4} = 1$$ and the line through P parallel to the Y-axis meets the circle x2 + y2 = 9 at Q, where P, Q are on the same side of the X-axis. If R is a point on PQ such that $${{PR} \over {RQ}} = {1 \over 2}$$, then the locus of R is
A
$${{{x^2}} \over 9} + {{9{y^2}} \over {49}} = 1$$
B
$${{{x^2}} \over {49}} + {{{y^2}} \over 9} = 1$$
C
$${{{x^2}} \over 9} + {{{y^2}} \over {49}} = 1$$
D
$${{9{x^2}} \over {49}} + {{{y^2}} \over 9} = 1$$
2
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
A point P lies on a line through Q(1, $$-$$2, 3) and is parallel to the line $${x \over 1} = {y \over 4} = {z \over 5}$$. If P lies on the plane 2x + 3y $$-$$ 4z + 22 = 0, then segment PQ equals
A
$$\sqrt {42} $$ units
B
$$\sqrt {32} $$ units
C
4 units
D
5 units
3
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The foot of the perpendicular drawn from the point (1, 8, 4) on the line joining the point (0, $$-$$11, 4) and (2, $$-$$3, 1) is
A
(4, 5, 2)
B
($$-$$4, 5, 2)
C
(4, $$-$$5, 2)
D
(4, 5, $$-$$2)
4
WB JEE 2018
MCQ (Single Correct Answer)
+2
-0.5
Change Language
A ladder 20 ft long leans against a vertical wall. The top end slides downwards at the rate of 2 ft per second. The rate at which the lower end moves on a horizontal floor when it is 12 ft from the wall is
A
$${{ - 8} \over 3}$$
B
$${6 \over 5}$$
C
$${3 \over 2}$$
D
$${17 \over 4}$$
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