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Questions › DSE › DSE 2019 › Q10
0 marksMathematics › Coordinate and solid geometry › Coordinate geometry: distance, lines and circlesModerateabout 2 min

DSE 2019 Question 10: Coordinate and solid geometry

The line y=2x+5y=2x+5y=2x+5 is tangent to a circle with equation x2+y2+16x+12y+c=0x^{2}+y^{2}+16x+12y+c=0x2+y2+16x+12y+c=0, at point PPP. So, PPP equals

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The line y=2x+5 is tangent to a circle with equation x²+y²+16x+12y+c=0, at point P. So, P equals (A) (-6,-7) (B) (-9,-7) (C) (-11,-15) (D) (-10,-12)

Also written as: The line y=2x+5 is tangent to a circle with equation x^2+y^2+16x+12y+c=0, at point P. So, P equals

Coordinate and solid geometry has come up 18 times in 2 exams since 2008.

What this question tests

This question is on Coordinate geometry: distance, lines and circles, part of Coordinate and solid geometry in Mathematics.

Using coordinates to find distances, slopes and the equation of a circle.

TestStop has 6 past-paper questions on this subtopic.

Practise Coordinate and solid geometryMore on Coordinate geometry: distance, lines and circles

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Question from the DSE 2019 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.