Author: Study Clue

The circle x2+y2−6x−8y+9=0x2+y2−6x−8y+9=0 has director circle equation A x2+y2−6x−8y+0=0x2+y2−6x−8y+0=0 B x2+y2+6x+8y+25=0x2+y2+6x+8y+25=0 C x2+y2−6x−8y+25=0x2+y2−6x−8y+25=0 D x2+y2−6x−8y−25=0x2+y2−6x−8y−25=0 Explanation For circle x2+y2+2gx+2fy+c=0x2+y2+2gx+2fy+c=0, director

Circle with center (2,−1)(2,−1) passing through (5,3)(5,3) has equation A (x−2)2+(y+1)2=16(x−2)2+(y+1)2=16 B (x+2)2+(y−1)2=16(x+2)2+(y−1)2=16 C (x+2)2+(y−1)2=25(x+2)2+(y−1)2=25 D (x−2)2+(y+1)2=25(x−2)2+(y+1)2=25 Explanation With center

Circle through points A(0,0)A(0,0), B(2,0)B(2,0), C(0,2)C(0,2) has equation A x2+y2−2x−2y=0x2+y2−2x−2y=0 B x2+y2+2x+2y=0x2+y2+2x+2y=0 C x2+y2−4x−4y=0x2+y2−4x−4y=0 D x2+y2−2=0x2+y2−2=0 Explanation A circle through

A circle with diameter endpoints A(x1,y1)A(x1,y1), B(x2,y2)B(x2,y2) satisfies A PA⋅PB=0PA⋅PB=0 B PA→⊥PB→PA⊥PB C PA=PBPA=PB D PA+PB=ABPA+PB=AB Explanation A point P(x,y)P(x,y)

For (x−h)2+(y−k)2=r2(x−h)2+(y−k)2=r2, what does (h,k)(h,k) represent A Focus of circle B Midpoint of chord C Center of circle D Point

A straight line passes through points (−2, 5) and (4, −1). What is the slope of this line? A 1

A line passes through the intersection of 2x+y−5=0 and x−2y+4=0, and also passes through (1,0). The required line is A

The line through (2,3) and (8,15) has slope A 3 B 1/2 C −2 D 2 Explanation Slope m=15−38−2=126=2m=8−215−3=612=2. Positive

The slope of line y = 7 is A 1 B −1 C 0 D Undefined Explanation In y =

A line has slope 0. What is its direction? A Vertical line B Rising right C Horizontal line D Falling