Mathematics Test 3

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Mathematics Test 3

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Weekly Quiz Competition

Question 1
4 / -1

An ellipse is drawn by taking a diameter of the circle (x – 1)² + y² = 1 as its semi-minor axis and a diameter of the circle x² + (y – 2)² = 4 is semi-major axis. If the centre of the ellipse is at the origin and its axes are the coordinate axes, then the equation of the ellipse is

A
4x² + y² = 4

B
x² + 4y² = 8

C
4x² + y² = 8

D
x² + 4y² = 16
Question 2
4 / -1

Question:Consider the function, f(x) = |x – 2| + |x – 5|, x Î R.

Statement I f'(4) = 0

Statement II f is continuous in [2, 5], differentiable in (2, 5) and f(2) = f(5),

A
Statement I is false, Statement II is true

B
Statement I is true, Statement II is true; Statement II is a correct explanation for Statement I

C
Statement I is true, Statement II is true; Statement II is not a correct explanation for Statement I

D
Statement I is true, Statement II is false
Question 3
4 / -1

A equation of a plane parallel to the plane x-2y + 2z – 5 = 0 and at a unit distance from the origin is

A
x – 2y + 2z – 3 = 0

B
x – 2y + 2z + 1 = 0

C
x – 2y + 2z – 1 = 0

D
x – 2y + 2z + 5 = 0