1. Write the equation of a line through (-1, 3) and it is (a) perpendicular to...

  

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1. Write the equation of a line through (-1, 3) and it is (a) perpendicular to the line x+2y-8=0 (b) parallel to the line 3x-2y=1 (c) parallel to x-axis (d) parallel to y-axis 2. Prove that the points A(1,1), B(11,3), C(10,8), and D(0,6) are vertices of a rectangle. Find the point of intersection of its diagonals. 3. Simplify the equation, determine which curve it represents, find its center, radius or vertices, foci, asymptotes (if any) and sketch it: 2 (a) x²-4x+ y²+6y+9=0 (b) x²-4x+9y2-32=0 (c) 9x²-4y²-54x+45=0 4. Write the equation of the conic satisfying the the following conditions and sketch it: (a) a circle whose center is at (-1, 2) and passes through (3, -1). (b) an ellipse whose center is at (1,-1) with semiaxes in x-direction 4 and in y-direction 3. (c) a hyperbola with foci at (1,0) and (1,6), and vertices at (1,1) and (1,,5). 1. Write the equation of a line through (-1, 3) and it is (a) perpendicular to the line x+2y-8=0 (b) parallel to the line 3x-2y=1 (c) parallel to x-axis (d) parallel to y-axis 2. Prove that the points A(1,1), B(11,3), C(10,8), and D(0,6) are vertices of a rectangle. Find the point of intersection of its diagonals. 3. Simplify the equation, determine which curve it represents, find its center, radius or vertices, foci, asymptotes (if any) and sketch it: 2 (a) x²-4x+ y²+6y+9=0 (b) x²-4x+9y2-32=0 (c) 9x²-4y²-54x+45=0 4. Write the equation of the conic satisfying the the following conditions and sketch it: (a) a circle whose center is at (-1, 2) and passes through (3, -1). (b) an ellipse whose center is at (1,-1) with semiaxes in x-direction 4 and in y-direction 3. (c) a hyperbola with foci at (1,0) and (1,6), and vertices at (1,1) and (1,,5).

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Answer Equation of a Line Through 1 3 Given a point 1 3 we can use the pointslope form of the equation of a line to find the equations satisfying the ... View the full answer