1
IIT-JEE 1984
Subjective
+2
-0
Find the values of $$x \in \left( { - \pi , + \pi } \right)$$ which satisfy the equation $${g^{(1 + \left| {\cos x} \right| + \left| {{{\cos }^2}x} \right| + \left| {{{\cos }^3}x} \right| + ...)}} = {4^3}$$
2
IIT-JEE 1984
MCQ (More than One Correct Answer)
+3
-0.75
For real $$x$$, the function $$\,{{\left( {x - a} \right)\left( {x - b} \right)} \over {x - c}}$$ will assume all real values provided
A
$$a > b > c$$
B
$$a < b < c$$
C
$$a > c > b$$
D
$$a < c < b$$
3
IIT-JEE 1984
Fill in the Blanks
+2
-0
If the product of the roots of the equation $$\,{x^2} - 3\,k\,x + 2\,{e^{2lnk}} - 1 = 0\,\,\,\,is\,7$$, then the roots are real for k = .................................
4
IIT-JEE 1984
True or False
+1
-0
If a < b < c < d, then the roots of the equation (x - a) (x - c) + 2 ( x - b) (x - d) = 0 are real and distinct.
A
TRUE
B
FALSE
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