1
WB JEE 2021
+1
-0.25
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
+1
-0.25
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
+1
-0.25
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
+2
-0.5
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
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
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