4 marksCo-ordinate Geometry
CAPE Pure Mathematics Unit 1 · 2022 · Paper 2 · Question 4(a)(ii)
Determine the equation of the tangent to the circle at the point (2, 3).
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Practise this questionOther parts of this question
- 4(a)(i)A circle has equation
x^2 + y^2 - 10x + 4y - 5 = 0. Determine the centre and radius of the circle.[4 marks] - 4(b)(i)Determine the equation of the plane that passes through the point
(0, 2, -2)and which is perpendicular to the vector…[3 marks] - 4(b)(ii)Determine the angle between the vector
3\mathbf{i} - 2\mathbf{j}and thex-axis.[3 marks] - 4(c)The parametric equations of a line are given as
x = 2 + 5\lambda,y = -3 + 4\lambda,z = 4 - 2\lambda. Determine the coordinates of the point where the…[5 marks] - 4(d)A point
P(x, y)moves in thexyplane such that it is the same distance from the pointA(1, 2)as it is from the linex = 3. Determine the equation of…[6 marks]
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