PBTE | DAE | MATH-123 APPLIED MATHEMATICS-I | MCQs | Chapter : 13 The Circle

DAE MATH-123

Applied Mathematics-I

Chapter 13 : The Circle

DAE Common Technologies | First Year

Multiple Choice Questions

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Chapter:13 (The Circle)

Question 1:

General form of the circle is:

\({x^2}+{y^2}+2gx+2fy+c=0\) \({(x-h)^2}+{(y-k)^2}={r^2}\) \({x^2}+{y^2}+x+y+1=0\) \({(x+h)^2}+{(y+k)^2}={r^2}\)

Question 2:

Standard equation of the circle is:

\({x^2}+{y^2}+2gx+2fy+c=0\) \({(x-h)^2}+{(y-k)^2}={r^2}\) \({x^2}+{y^2}+x+y+1=0\) \({(x+h)^2}+{(y+k)^2}={r^2}\)

Question 3:

Straight line from center to the circumference is:

Circle Radius Diameter circumference

Question 4:

Radius of the circle \({x^2}+{y^2}=1\) is:

\(1\) \(0\) \(2\) \(-1\)

Question 5:

Radius of the circle \({x^2}+{y^2}+2gx+2fy+c=0\) is:

\(c\) \(c^2\) \(\sqrt{{g^2}+{f^2}-c}\) \(\sqrt{{g^2}+{f^2}+c}\)

Question 6:

Centre of the circle \({x^2}+{y^2}-2x-4y=8\) is:

(1 , 2) (2 , 4) (1 , 3) (-2 , 4)

Question 7:

Radius of the circle \({x^2}+{y^2}-2x-4y=8\) is:

\(8\) \(\sqrt{8}\) \(\sqrt{12}\) \(\sqrt{13}\)

Question 8:

Equation of the unit circle is:

\({x^2}+{y^2}+2x+2y+1=0\) \({x^2}+{y^2}=1\) \({x^2}+{y^2}={r^2}\) \({x^2}+{y^2}=-1\)

Question 9:

Radius of the circle \({(x-1)^2}+{(y-2)^2}=16\) is:

2 1 4 3

Question 10:

Centre of the circle \({(x-1)^2}+{(y-2)^2}=16\) is:

(1, 2) (2, 1) (4, 0) (-1 , -2 )

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INSTRUCTOR

MUHAMMAD BIN JAMEEL

BSC ENGG. CIVIL