1
IIT-JEE 1981
MCQ (Single Correct Answer)
+2
-0.5
The scalar $$\overrightarrow A .\left( {\overrightarrow B + \overrightarrow C } \right) \times \left( {\overrightarrow A + \overrightarrow B + \overrightarrow C } \right)$$ equals :
A
$$0$$
B
$$\left[ {\overrightarrow A \,\overrightarrow B \,\overrightarrow C } \right] + \left[ {\overrightarrow B \,\overrightarrow C \,\overrightarrow A } \right]$$
C
$$\left[ {\overrightarrow A \,\overrightarrow B \,\overrightarrow C } \right]$$
D
None of these
2
IIT-JEE 1981
Subjective
+4
-0
Find the area bounded by the curve $${x^2} = 4y$$ and the straight
3
IIT-JEE 1981
Subjective
+4
-0
Suppose that the normals drawn at three different points on the parabola $${y^2} = 4x$$ pass through the point $$(h, k)$$. Show that $$h>2$$.
4
IIT-JEE 1981
MCQ (Single Correct Answer)
+2
-0.5
The general solution of the trigonometric equation sin x+cos x=1 is given by:
A
$$2n\pi ;\,n = 0,\, \pm 1,\, \pm 2....$$
B
$$x = 2n\pi + \pi /2;\,n = 0,\, \pm 1,\, \pm 2....$$
C
$$x = n\pi + {\left( { - 1} \right)^n}\,\,\,\,\,\,\,{\pi \over 4} - {\pi \over 4}$$ ; $$n = 0,\, \pm 1,\, \pm 2..$$
D
none of these
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