1
IIT-JEE 1986
Subjective
+5
-0
Lines 5x + 12y - 10 = 0 and 5x - 12y - 40 = 0 touch a circle $$C_1$$ of diameter 6. If the centre of $$C_1$$ lies in the first quadrant, find the equation of the circle $$C_2$$ which is concentric with $$C_1$$ and cuts intercepts of length 8 on these lines.
2
IIT-JEE 1986
Fill in the Blanks
+2
-0
The derivative of $${\sec ^{ - 1}}\left( {{1 \over {2{x^2} - 1}}} \right)$$ with respect to $$\sqrt {1 - {x^2}} $$ at $$x = {1 \over 2}$$ is ...............
3
IIT-JEE 1986
MCQ (More than One Correct Answer)
+2
-0.5
There exists a triangle $$ABC$$ satisfying the conditions
A
$$b\sin A = a,A < \pi /2$$
B
$$b\sin A > a,A > \pi /2$$
C
$$b\sin A > a,A < \pi /2$$
D
$$b\sin A < a,A < \pi /2,b > a$$
4
IIT-JEE 1986
Subjective
+5
-0
If in a triangle $$ABC$$, $$\cos A\cos B + \sin A\sin B\sin C = 1,$$ Show that $$a:b:c = 1:1:\sqrt 2 $$
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