1
IIT-JEE 1983
MCQ (Single Correct Answer)
+1
-0.25
The coefficient of $${x^4}$$ in $${\left( {{x \over 2} - {3 \over {{x^2}}}} \right)^{10}}$$ is
A
$${{{405} \over {256}}}$$
B
$${{{504} \over {259}}}$$
C
$${{{450} \over {263}}}$$
D
none of these
2
IIT-JEE 1983
Subjective
+3
-0
The vertices of a triangle are
$$\left[ {a{t_1}{t_2},\,\,a\left( {{t_1} + {t_2}} \right)} \right],\,\,\left[ {a{t_2}{t_3},a\left( {{t_2} + {t_3}} \right)} \right],\,\,\left[ {a{t_3}{t_1},\,a\left( {{t_3} + {t_1}} \right)} \right]$$. Find the orthocentre of the triangle.
3
IIT-JEE 1983
Fill in the Blanks
+2
-0
If $${\left( {1 + ax} \right)^n} = 1 + 8x + 24{x^2} + .....$$ then $$a=..........$$ and $$n =............$$
4
IIT-JEE 1983
True or False
+1
-0
The equation $$2{x^2} + 3x + 1 = 0$$ has an irrational root.
A
TRUE
B
FALSE
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