1
IIT-JEE 1978
Subjective
+4
-0
Solve for $$x:\,\sqrt {x + 1} - \sqrt {x - 1} = 1.$$
2
IIT-JEE 1978
Subjective
+4
-0
Solve the following equation for $$x:\,\,2\,{\log _x}a + {\log _{ax}}a + 3\,\,{\log _{{a^2}x}}\,a = 0,a > 0$$
3
IIT-JEE 1978
Subjective
+4
-0
Show that the square of $$\,{{\sqrt {26 - 15\sqrt 3 } } \over {5\sqrt 2 - \sqrt {38 + 5\sqrt 3 } }}$$ is a rational number.
4
IIT-JEE 1978
Subjective
+4
-0
Find all integers $$x$$ for which $$\left( {5x - 1} \right) < {\left( {x + 1} \right)^2} < \left( {7x - 3} \right).$$
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