1
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
Change Language
From a point (d, 0) three normal are drawn to the parabola y2 = x, then
A
d = $${1 \over 2}$$
B
d > $${1 \over 2}$$
C
d < $${1 \over 2}$$
D
d = $${1 \over 3}$$
2
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The length of the chord of the parabola y2 = 4ax(a > 0) which passes through the vertex and makes an acute angle $$\alpha $$ with the axis of the parabola is
A
$$ \pm $$ 4a cot $$\alpha $$ cosec $$\alpha $$
B
4a cot $$\alpha $$ cosec $$\alpha $$
C
$$ - $$ 4a cot $$\alpha $$ cosec $$\alpha $$
D
4a cosec2 $$\alpha $$
3
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The equation of the latusrectum of a parabola is x + y = 8 and the equation of the tangent at the vertex is x + y = 12. Then, the length of the latusrectum is
A
$$4\sqrt 2 $$ units
B
$$2\sqrt 2 $$ units
C
8 units
D
$$8\sqrt 2 $$ units
4
WB JEE 2020
MCQ (Single Correct Answer)
+2
-0.5
Change Language
If the line y = x is a tangent to the parabola y = ax2 + bx + c at the point (1, 1) and the curve passes through ($$ - $$1, 0), then
A
a = b = $$ - $$1, c = 3
B
a = b = $${1 \over 2}$$, c = 0
C
a = c = $${1 \over 4}$$, b = $${1 \over 2}$$
D
a = 0, b = c = $${1 \over 2}$$
WB JEE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12