MTH100 Final Term Preparation by Brainy Squad

MTH100 FINAL TERM PREPARATION

BY BRAINY SQUAD 60 MCQ’S

Question: Write the standard form of the equation of the circle with radius 2\sqrt{2}2 and center (3, 4).

• (x + 3)² + (y + 4)² = 2
• (x - 3)² + (y - 4)² = √2

• (x - 3)² + (y - 4)² = 2 ✔

• (x + 3)² + (y + 4)² = √2

Question: The midpoint of the line segment PQ, here P(2, 3) and Q(4, 6) is:

• M(1, 3/2)
• M(3, 4) ✔
• M(3, 4.5)
• M(6, 9)

Question: Write the standard form of the equation of the circle with radius 11 and center (0, 6).

• x² + (y - 6)² = 121 ✔

• x² + (y + 6)² = 11
• (x + 6)² + y² = 121
• (x - 6)² + y² = 121

Question: The nth term of an AP is a+(n−1)da + (n - 1) da+(n−1)d. If a=5a = 5a=5, d=3d = 3d=3, and n=6n = 6n=6, what is the nth term?

• 18
• 20 ✔
• 30
• 23

Question: The number of accidents in a city during 2020 is:

• Discrete variable ✔

• Qualitative variable
• Continuous variable
• Constant

Question: The sum of an infinite GP with the first term a=3a = 3a=3 and common ratio r=0.5r = 0.5r=0.5 is:

• 3
• 9
• 6 ✔
• 4

Question: cos⁡2A=\cos^2A =cos2A=

• 2cos⁡2A−12\cos^2A - 12cos2A−1
• 1−cos⁡2A1 - \cos^2A1−cos2A
• 2\sinA\cosA2\sinA\cosA2\sinA\cosA

• cos⁡2A+sin⁡2A\cos^2A + \sin^2Acos2A+sin2A ✔

Question: Which branch of mathematics is most closely related to trigonometry?

• Geometry ✔
• Calculus
• Statistics
• Algebra

Question: −16x+64+(y+3)2=49−16x + 64 + (y + 3)^2 = 49−16x+64+(y+3)2=49.

• (h, k) = (-3, 8); r = 7
• (h, k) = (3, -8); r = 49

• (h, k) = (8, -3); r = 7 ✔

• (h, k) = (-8, 3); r = 49

Question: Sine is positive in the:

• Third and the fourth quadrant
• Second quadrant

• First and the second quadrant ✔

• Third quadrant

Question: The domain of inverse sine function and inverse cosine function is same.

• False ✔
• True

Question: The point where the xand yaxis cross. (0,0)

• Slope
• Origin ✔
• Y-intercept
• X-intercept

Question: sin⁡(θ+2π)=\sin(\theta + 2\pi) =sin(θ+2π)=

• sin⁡θ\sin \thetasinθ ✔

• cos⁡θ\cos \thetacosθ
• −cos⁡θ-\cos \theta−cosθ
• −sin⁡θ-\sin \theta−sinθ