1. What is the length of AB A B AB ?
122.5 m 122.5 \mathrm{~m} 122.5 m
240 m 240 \mathrm{~m} 240 m
490 m 490 \mathrm{~m} 490 m
4903 m 490 \sqrt{3} \mathrm{~m} 4903 m
2. Which is the parametric co-ordinates of the hyperbola 4x2−y2+16=0 4 x^{2}-y^{2}+16=0 4x2−y2+16=0 ?
(4secθ,2tanθ) (4 \sec \theta, 2 \tan \theta) (4secθ,2tanθ)
(2secθ,4tanθ) (2 \sec \theta, 4 \tan \theta) (2secθ,4tanθ)
(4tanθ,2secθ) (4 \tan \theta, 2 \sec \theta) (4tanθ,2secθ)
(2tanθ,4secθ) (2 \tan \theta, 4 \sec \theta) (2tanθ,4secθ)
3. x22+y23=1 \frac{x^{2}}{2}+\frac{y^{2}}{3}=1 2x2+3y2=1 is a equation of a conic.
What is the length of the major axis?
22 2 \sqrt{2} 22
23 2 \sqrt{3} 23
4
6
4. For z=i−1 z=i-1 z=i−1
i. \quad Modulus =2 =\sqrt{2} =2
ii. \quad Argument =π4 =\frac{\pi}{4} =4π
iii. zzˉ z \bar{z} zzˉ is a real number
Which one is correct?
i \mathrm{i} i and ii \mathrm{ii} ii
i and iii
ii and iii
i, ii and iii
5. What is the value of x x x, where n∈Z n \in \mathbb{Z} n∈Z and sinx+cosecx=−2 \sin x+\operatorname{cosec} x=-2 sinx+cosecx=−2 ?
2nπ+π2 2 \mathrm{n} \pi+\frac{\pi}{2} 2nπ+2π
2nπ−π2 2 \mathrm{n} \pi-\frac{\pi}{2} 2nπ−2π
2nπ 2 \mathrm{n} \pi 2nπ
2nπ−π 2 n \pi-\pi 2nπ−π