1. If x=x+∣y \mathrm{x}=\mathrm{x}+\mid y x=x+∣y, then ∣x∣−5 |\mathrm{x}|-5 ∣x∣−5 repreaents-
straight line
circle
parabola
ellipse
2. Two forces of magnitude 2 N 2 \mathrm{~N} 2 N and 3 N 3 \mathrm{~N} 3 N are acting at a point with an angle of 60∘ 60^{\circ} 60∘.
What is the magaitude of reasaltant of the forces?
7 N \sqrt{7} \mathrm{~N} 7 N
19 N \sqrt{19} \mathrm{~N} 19 N
7
19
3. What is the value of tan−12+tan−13 \tan ^{-1} 2+\tan ^{-1} 3 tan−12+tan−13 ?
−π4 -\frac{\pi}{4} −4π
π4 \frac{\pi}{4} 4π
3π4 \frac{3 \pi}{4} 43π
5π4 \frac{5 \pi}{4} 45π
4. Which one is the quadratic equation baving root 1−−3 1-\sqrt{-3} 1−−3 ?
x2−2x−4=0 x^{2}-2 x-4=0 x2−2x−4=0
x2−2x+4=0 x^{2}-2 x+4=0 x2−2x+4=0
x2+2x−4=0 x^{2}+2 x-4=0 x2+2x−4=0
x2+2x+4=0 x^{2}+2 x+4=0 x2+2x+4=0
5. What is the value of coscot−1\cos\cot^{-1}coscot−1 2 ?
12 \frac{1}{2} 21
25 \frac{2}{\sqrt{5}} 52
52 \frac{\sqrt{5}}{2} 25
15 \frac{1}{\sqrt{5}} 51