Coordinate geometry 1 questions | form five Pure Advanced Mathematics

(5349) Question Category: Mathematical Calculation

Show that the line 3x-4y+14=0 is a tangent to a circle x^{2}+y^{2}+4x+6y-3=0.

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UNSOLVED

(5365) Question Category: Mathematical Calculation

If the circles x^{2}+y^{2}-2y-8=0 and x^{2}+y^{2}-24x+hy=0 cut orthogonally, determine the value of h.

Answer / Solution

UNSOLVED

(5366) Question Category: Mathematical Calculation

Find the equation of the normal line passing through point K(7,4) to the circle whose equation is x^{2}+y^{2}-4x-6y+9=0.

Answer / Solution

UNSOLVED

(5367) Question Category: Mathematical Calculation

Calculate the area of the triangle whose vertices are the points L(3,5), M(4,2) and N(6,3).

Answer / Solution

UNSOLVED

(5381) Question Category: Mathematical Calculation

Find the value of k such that k(x^{2}+y^{2})+(y-2x+1)(y+2x+3)=0 is a circle. Hence obtain the center and radius of the resulting circle.

Answer / Solution

UNSOLVED

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