1
IIT-JEE 1987
MCQ (Single Correct Answer)
+2
-0.5
If $$a,\,b,\,c,\,d$$ and p are distinct real numbers such that $$$\left( {{a^2} + {b^2} + {c^2}} \right){p^2} - 2\left( {ab + bc + cd} \right)p + \left( {{b^2} + {c^2} + {d^2}} \right) \le 0$$$
then $$a,\,b,\,c,\,d$$
A
are in A. P.
B
are in G P.
C
are in H. P.
D
satisfy $$ab = cd$$
2
IIT-JEE 1987
Subjective
+3
-0
Find the set of all $$x$$ for which $${{2x} \over {\left( {2{x^2} + 5x + 2} \right)}}\, > \,{1 \over {\left( {x + 1} \right)}}$$
3
IIT-JEE 1987
Subjective
+3
-0
Prove by mathematical induction that $$ - 5 - {{\left( {2n} \right)!} \over {{2^{2n}}{{\left( {n!} \right)}^2}}} \le {1 \over {{{\left( {3n + 1} \right)}^{1/2}}}}$$ for all positive integers $$n$$.
4
IIT-JEE 1987
Fill in the Blanks
+2
-0
The area of the triangle formed by the tangents from the point (4, 3) to the circle $${x^2} + {y^2} = 9$$ and the line joining their points of contact is...................
JEE Advanced Papers
EXAM MAP