1
WB JEE 2019
MCQ (More than One Correct Answer)
+2
-0
Change Language
Straight lines x $$-$$ y = 7 and x + 4y = 2 intersect at B. Points A and C are so chosen on these two lines such that AB = AC. The equation of line AC passing through (2, $$-$$7) is
A
x $$-$$ y $$-$$ 9 = 0
B
23x + 7y + 3 = 0
C
2x $$-$$ y $$-$$ 11 = 0
D
7x $$-$$ 6y $$-$$ 56 = 0
2
WB JEE 2019
MCQ (More than One Correct Answer)
+2
-0
Change Language
Equation of a tangent to the hyperbola 5x2 $$-$$ y2 = 5 and which passes through an external point (2, 8) is
A
3x $$-$$ y + 2 = 0
B
3x + y $$-$$ 14 = 0
C
23x $$-$$ 3y $$-$$ 22 = 0
D
3x $$-$$ 23y + 178 = 0
3
WB JEE 2019
MCQ (More than One Correct Answer)
+2
-0
Change Language
Let f and g be differentiable on the interval I and let a, b $$ \in $$ I, a < b. Then,
A
If f(a) = 0 = f(b), the equation f'(x) + f(x)g'(x) = 0 is soluble in (a, b)
B
If f(a) = 0 = f(b), the equation f'(x) + f(x)g'(x) = 0 may not be soluble in (a, b)
C
If g(a) = 0 = g(b), the equation g'(x) + kg(x) = 0 is soluble in (a, b), k $$ \in $$ R
D
If g(a) = 0 = g(b), the equation g'(x) + kg(x) = 0 may not be soluble in (a, b), k $$ \in $$ R
4
WB JEE 2019
MCQ (More than One Correct Answer)
+2
-0
Change Language
Consider the function $$f(x) = {{{x^3}} \over 4} - \sin \pi x + 3$$
A
f(x) does not attain value within the interval [$$-$$2, 2]
B
f(x) takes on the value $$2{1 \over 3}$$ in the interval [$$-$$2, 2]
C
f(x) takes on the value $$3{1 \over 4}$$ in the interval [$$-$$2, 2]
D
f(x) takes no value p, 1 < p < 5 in the interval [$$-$$2, 2].
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