Mathematics Test 67

Result

Mathematics Test 67

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Weekly Quiz Competition

Question 1
4 / -1

If the tangent at a point P, with parameter t, on the curve x = 4t²+3,y = 8t³−1, t ∈ R,meets the curve again at a point Q, then the coordinates of Q are:

A
(t²+3,−t³−1)

B
(4t²+3,−8t³−1)

C
(t²+ 3, t³−1)

D
(16t²+ 3, 64t³−1)
Question 2
4 / -1

The point (2, 1) is translated parallel to the line L : x − y = 4 by 2√3 units. units. If the new point Q lies in the third quadrant, then the equation of the line passing through Q and perpendicular to L is:

A
x + y = 2−√6

B
x + y = 3 − 3√6

C
x + y = 3 − 2√6

D
2x + 2y = 1 − √6
Question 3
4 / -1

A circle passes through (−2,4) and touches the y-axis at (0, 2). Which one of the following equations can represent a diameter of this circle?

A
4x + 5y − 6 = 0

B
2x − 3y + 10 = 0

C
3x + 4y − 3 = 0

D
5x + 2y + 4 = 0