1
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
The normal to a curve at $$P(x,y)$$ meets the $$x$$-axis at $$G$$. If the distance of $$G$$ from the origin is twice the abscissa of $$P$$, then the curve is a :
A
circle
B
hyperbola
C
ellipse
D
parabola
2
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
A tower stands at the centre of a circular park. $$A$$ and $$B$$ are two points on the boundary of the park such that $$AB(=a)$$ subtends an angle of $${60^ \circ }$$ at the foot of the tower, and the angle of elevation of the top of the tower from $$A$$ or $$B$$ is $${30^ \circ }$$. The height of the tower is :
A
$$a/\sqrt 3 $$
B
$$a\sqrt 3 $$
C
$$2a/\sqrt 3 $$
D
$$2a\sqrt 3 $$
3
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
If sin-1$$\left( {{x \over 5}} \right)$$ + cosec-1$$\left( {{5 \over 4}} \right)$$ = $${\pi \over 2}$$, then the value of x is :
A
4
B
5
C
1
D
3
4
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
The function $$f\left( x \right) = {\tan ^{ - 1}}\left( {\sin x + \cos x} \right)$$ is an incresing function in
A
$$\left( {0,{\pi \over 2}} \right)$$
B
$$\left( { - {\pi \over 2},{\pi \over 2}} \right)$$
C
$$\left( { {\pi \over 4},{\pi \over 2}} \right)$$
D
$$\left( { - {\pi \over 2},{\pi \over 4}} \right)$$
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