1
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
The locus of the point of intersection of the lines $ x=a\left(\frac{1-t^{2}}{1+t^{2}}\right) $ and $ y=\frac{2 a t}{1+t^{2}} $ represent $ (t $ being a parameter)
A
Circle
B
Parabola
C
Ellipse
D
Hyperbola
2
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
Let $ A, B $ and $ C $ are the angles of a triangle and $ \tan \frac{A}{2}=\frac{1}{3}, \tan \frac{B}{2}=\frac{2}{3} $. Then, $ \tan \frac{C}{2} $ is equal to
A
$ \frac{7}{9} $
B
$ \frac{2}{9} $
C
$ \frac{1}{3} $
D
$ \frac{2}{3} $
3
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
If $ A=\frac{1}{3}\left[\begin{array}{ccc}1 & 2 & 2 \\ 2 & 1 & -2 \\ a & 2 & b\end{array}\right] $ is an orthogonal matrix, then
A
$ a=-2, b=-1 $
B
$ a=2, b=1 $
C
$ a=2, b=-1 $
D
$ a=-2, b=1 $
4
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
The points represented by the complex number $ 1+i,-2+3 i, \frac{5}{3} i $ on the argand plane are
A
Vertices of an equilateral triangle
B
Vertical of an isosceles triangle
C
Collinear
D
None of the above
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