221. If the quadratic equation 4x² – (p – 2)x + 1 = 0 has equal roots, then the value of ‘p’ is
Answer: -2 or 6
222. The quadrilateral formed by connecting the points (1, 1), (-1, 5), (7, 9), and (9, 5) is a
Answer: Rectangle
223. The linear equation that is parallel to the line 2x + 3y = 12 is
Answer: 8x + 12y = 48
224. If tan θ = -4/3, then the value of sin θ is
Answer: ±4/5
225. If sin(3A – B) = 1 and cos(2A – B) = √3/2, then the values of sin A and cos B are
Answer: √3/2, 0
226. A circle with a radius of 6 cm subtends a 60° angle at its center. The lengths of the minor and major arcs are
Answer: 2π and 10π
227. If p + q = 6 and pq = 8, then p³ + q³ is
Answer: 72
228. In this figure, if AB || CD, CD || EF, and x:y = 3:2, then the value of z is
Answer: 108°
229. Two concentric circles have radii of 15 cm and 9 cm. The length of the largest chord of the larger circle that is tangent to the smaller circle is
Answer: 24 cm
230. In the figure, ∆ ABC and ∆ CDE are right-angled triangles. If AC = 24 cm, CE = 7 cm, and ∠ACB = ∠CED, then AE is
Answer: 25 cm
231. (81/16)−3/4 × (9/25)3/2 ÷ (5/2)-3 simplifies to
Answer: 1
232. The reflection of the point (-3, -2) across the Y-axis is
Answer: (3, -2)
233. A rational number between 7 and 11 is
Answer: 59/77
234. If a = 2 and b = 3, then the value of (ab + ba)-1 is
Answer: 1/17
235. If f(x) = x2 – 5x + 7, then f(2) – f(-1) is
Answer: -12
236. The simplified form of (x2 + 1/x2)(x + 1/x)(x4 + 1/x4)(x – 1/x) is
Answer: x8 – 1/x8
237. The average of 15 observations is 23. If each observation is multiplied by 2, the new average will be
Answer: 46
238. In a row, there are 13 girls and 15 boys. If one student is chosen at random, the probability of choosing a girl is
Answer: 28/13
239. Which of the following options is not the side of a triangle?
Answer: 2 cm, 3 cm, 5 cm
240. 1, 3, 6, 10, … are triangular numbers. The smallest triangular number divisible by 9 is
Answer: 36