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# Maths Quiz for KVS/NVS & CTET Exams Q2. Find the ratio of the area of internal circle and external circle of a square?

(a) 1 : 2
(b) √2 : 1
(c) √2 ∶ √3
(d) √3 : 1

Q3. In an isosceles triangle ABC, AB = AC. From point B and C, a circle passes through AB and AC cuts at point D and E. Therefore, in quadrilateral DBCE, the sides DE and BC are of which type?
(a) equal
(b) parallel
(c) non-parallel
(d) None of these

Q4. Two concentric circle whose radii are 11 cm and 4 cm. Then using ? = 22/7, find the area of ring –
(a) 230 cm^2
(b) 660 cm^2
(c) 330 cm^2
(d) 440 cm^2

Q5. Two circles touch each other internally. Radius of larger circle is 6 cm and distance between both circles are 2 cm. therefore, radius of second circle is –
(a) 3 cm
(b) 8 cm
(c) 4 cm
(d) 10 cm

Q6. The value of (tan⁡27°+cot⁡63°)/(tan⁡27° (sin⁡25°+cos⁡65°))
(a) cosec 25°
(b) 2 tan 27°
(c) sin 25°
(d) tan 65°

Q8. If 5tan θ = 4, then (5 sin⁡θ- 3 cos⁡θ)/(5 sin⁡θ+2 cos⁡θ) is equal to
(a) 1/4
(b) 1/6
(c) 1/3
(d) 2/3

Solutions

S8. Ans.(b)

Sol.5 tan⁡θ=4
⇒5sin⁡θ/cos⁡θ =4
⇒ 5 sin⁡θ = 4 cos⁡θ
sin θ/cos⁡θ = 4/5
(5×4 – 3×5)/(5×4 + 2×5)
5/30 =1/6