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1
JEE Main 2017 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The tangent at the point (2, $$-$$2) to the curve, x2y2 $$-$$ 2x = 4(1 $$-$$ y) does not pass through the point :
A
$$\left( {4,{1 \over 3}} \right)$$
B
(8, 5)
C
($$-$$4, $$-$$9)
D
($$-$$2, $$-$$7)
2
JEE Main 2016 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let C be a curve given by y(x) = 1 + $$\sqrt {4x - 3} ,x > {3 \over 4}.$$ If P is a point on C, such that the tangent at P has slope $${2 \over 3}$$, then a point through which the normal at P passes, is :
A
(2, 3)
B
(4, $$-$$3)
C
(1, 7)
D
(3, $$-$$ 4),
3
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the tangent at a point P, with parameter t, on the curve x = 4t2 + 3, y = 8t3−1, t $$ \in $$ R, meets the curve again at a point Q, then the coordinates of Q are :
A
(t2 + 3, − t3 −1)
B
(4t2 + 3, − 8t3 −1)
C
(t2 + 3, t3 −1)
D
(16t2 + 3, − 64t3 −1)
4
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The minimum distance of a point on the curve y = x2−4 from the origin is :
A
$${{\sqrt {19} } \over 2}$$
B
$$\sqrt {{{15} \over 2}} $$
C
$${{\sqrt {15} } \over 2}$$
D
$$\sqrt {{{19} \over 2}} $$
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