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1
JEE Main 2019 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If one end of a focal chord of the parabola, y2 = 16x is at (1, 4), then the length of this focal chord is :
A
24
B
20
C
25
D
22
2
JEE Main 2019 (Online) 8th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The tangent to the parabola y2 = 4x at the point where it intersects the circle x2 + y2 = 5 in the first quadrant, passes through the point :
A
$$\left( { - {1 \over 4},{1 \over 2}} \right)$$
B
$$\left( { - {1 \over 3},{4 \over 3}} \right)$$
C
$$\left( { {3 \over 4},{7 \over 4}} \right)$$
D
$$\left( { {1 \over 4},{3 \over 4}} \right)$$
3
JEE Main 2019 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The shortest distance between the line y = x and the curve y2 = x – 2 is :
A
$$7\over 4 \sqrt2$$
B
$$7\over8$$
C
$$11\over 4 \sqrt2$$
D
2
4
JEE Main 2019 (Online) 12th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The equation of a tangent to the parabola, x2 = 8y, which makes an angle $$\theta $$ with the positive directions of x-axis, is :
A
x = y cot $$\theta $$ – 2 tan $$\theta $$
B
y = x tan $$\theta $$ + 2 cot $$\theta $$
C
x = y cot $$\theta $$ + 2 tan $$\theta $$
D
y = x tan $$\theta $$ – 2 cot $$\theta $$
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