Trigonometry
Inverse Trigonometric Functions
MCQ (Single Correct Answer)Subjective
1
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

If the ratio of the roots of the equation $$p{x^2} + qx + r = 0$$ is $$a:b$$, then $${{ab} \over {{{(a + b)}^2}}}$$ =

A
$${{{p^2}} \over {qr}}$$
B
$${{pr} \over {{q^2}}}$$
C
$${{{q^2}} \over {pr}}$$
D
$${{pq} \over {{r^2}}}$$
2
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

If $$\alpha$$ and $$\beta$$ are the roots of the equation x2 + x + 1 = 0, then the equation whose roots ar $$\alpha$$19 and $$\beta$$7 is

A
x2 $$-$$ x $$-$$ 1 = 0
B
x2 $$-$$ x + 1 = 0
C
x2 + x $$-$$ 1 = 0
D
x2 + x + 1 = 0
3
WB JEE 2012
MCQ (Single Correct Answer)
+2
-0.67
The quadratic equation 2x2 $$-$$ (a3 + 8a $$-$$ 1)x + a2 $$-$$ 4a = 0 possesses roots of opposite sign. Then,
A
a $$ \le $$ 0
B
0 < a < 4
C
4 $$ \le $$ a $$ \le $$ 8
D
a $$ \ge $$ 8
4
WB JEE 2025
MCQ (Single Correct Answer)
+1
-0.25
For what value of ' $a$ ', the sum of the squares of the roots of the equation $x^2-(a-2) x-a+1=0$ will have the least value?
A
2
B
0
C
3
D
1
WB JEE Subjects