1
IIT-JEE 1995 Screening
MCQ (Single Correct Answer)
+1
-0.25
A 3p orbital has
A
two non spherical nodes
B
two spherical nodes
C
one spherical and one non spherical node
D
one spherical and two non spherical nodes
2
IIT-JEE 1995 Screening
MCQ (Single Correct Answer)
+1
-0.25
If $$f\left( x \right)\,\,\, = \,\,\,A\sin \left( {{{\pi x} \over 2}} \right)\,\,\, + \,\,\,B,\,\,\,f'\left( {{1 \over 2}} \right) = \sqrt 2 $$ and
$$\int\limits_0^1 {f\left( x \right)dx = {{2A} \over \pi },} $$ then constants $$A$$ and $$B$$ are
A
$${\pi \over 2}$$ and $${\pi \over 2}$$
B
$${2 \over \pi }$$ and $${3 \over \pi }$$
C
$$0$$ and $${-4 \over \pi }$$
D
$${4 \over \pi }$$ and $$0$$
3
IIT-JEE 1995 Screening
MCQ (Single Correct Answer)
+4
-1
If $$\overrightarrow a ,$$ $$\overrightarrow b $$ and $$\overrightarrow c $$ are three non coplanar vectors, then
$$\left( {\overrightarrow a + \overrightarrow b + \overrightarrow c } \right).\left[ {\left( {\overrightarrow a + \overrightarrow b } \right) \times \left( {\overrightarrow a + \overrightarrow c } \right)} \right]$$ equals
A
$$0$$
B
$$\left[ {\overrightarrow a \,\overrightarrow b \,\overrightarrow c } \right]$$
C
$$2\left[ {\overrightarrow a \,\overrightarrow b \,\overrightarrow c } \right]$$
D
$$-\left[ {\overrightarrow a \,\overrightarrow b \,\overrightarrow c } \right]$$
4
IIT-JEE 1995 Screening
MCQ (Single Correct Answer)
+4
-1
Let $$\overrightarrow u ,\overrightarrow v $$ and $$\overrightarrow w $$ be vectors such that $$\overrightarrow u + \overrightarrow v + \overrightarrow w = 0.$$ If $$\left| {\overrightarrow u } \right| = 3,\left| {\overrightarrow v } \right| = 4$$ and $$\left| {\overrightarrow w } \right| = 5,$$ then $$\overrightarrow u .\overrightarrow v + \overrightarrow v .\overrightarrow w + \overrightarrow w .\overrightarrow u $$ is
A
$$47$$
B
$$-25$$
C
$$0$$
D
$$25$$
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