11th Business Maths Weekly Test - 2 ( Analytical Geometry )

MABS Institution

11th Business Maths Weekly Test - 2 ( Analytical Geometry )-Aug 2020

Time : 1.30 Hours

Part - A

Generic 2 - Answer All Question

If the angle between the two lines is \(\frac{\pi}{4}\) and slope of one of the lines is 3, then find the slope of the other line.

Find the equation of the circle having (4,7) and (-2,5) as the extremities of a diameter

Find the cartesian equation of the circle whose parametric equation are x = 3 cos\(\theta\), y = 3 sin\(\theta\) \(0\le \theta \le 2\pi \)

Find the equation of the circle on the line joining the points (1,0), (0,1) and having its centre on the line x + y= 1

Find the parametric equations of the circle x²+y²=25

Find the equation of the following circles having the center ( 0,0) and radius 2 units

Find the equation of the circle with centre at origin and radius is 3 units.

Find the equation of the circle with centre at (3, –1) and radius is 4 units.

Show that perpendicular distances of the line x-y+5=0 from origin and from the point P(2, 2) are equal.

Find the angle between the pair of lines represented by the equation 3x²+10xy+8y²+14x+22y+15=0.

Part - B

Generic 5 - Answer All Question

Show that the point (7, –5) lies on the circle x²+y²-6x+4y-12=0 and find the coordinates of the other end of the diameter through this point.

Show that the pair of straight lines 4x² +12xy +9y² -6x -9y +2 = 0 represents two parallel straight lines and also find the separate equations of the straight lines..

Find the axis, vertex, focus, equation of directrix length of latus rectum of the parabola (y-2)²=4(x-1).
Find the equation of the parabola whose focus is (1,3) and whose directrix is x-y+2=0.

Find the equation of the parabola which is symmetrical about x-axis and passing through (-2, -3).

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11th Business Maths Weekly Test - 2 ( Analytical Geometry )

MABS Institution

11th Business Maths Weekly Test - 2 ( Analytical Geometry )-Aug 2020

Part - A

Generic 2 - Answer All Question

If the angle between the two lines is \(\frac{\pi}{4}\) and slope of one of the lines is 3, then find the slope of the other line.

Find the equation of the circle having (4,7) and (-2,5) as the extremities of a diameter

Find the cartesian equation of the circle whose parametric equation are x = 3 cos\(\theta\), y = 3 sin\(\theta\) \(0\le \theta \le 2\pi \)

Find the equation of the circle on the line joining the points (1,0), (0,1) and having its centre on the line x + y= 1

Find the parametric equations of the circle x2+y2=25

Find the equation of the following circles having the center ( 0,0) and radius 2 units

Find the equation of the circle with centre at origin and radius is 3 units.

Find the equation of the circle with centre at (3, –1) and radius is 4 units.

Show that perpendicular distances of the line x-y+5=0 from origin and from the point P(2, 2) are equal.

Find the angle between the pair of lines represented by the equation 3x2+10xy+8y2+14x+22y+15=0.

Part - B

Generic 5 - Answer All Question

Show that the point (7, –5) lies on the circle x2+y2-6x+4y-12=0 and find the coordinates of the other end of the diameter through this point.

Show that the pair of straight lines 4x2 +12xy +9y2 -6x -9y +2 = 0 represents two parallel straight lines and also find the separate equations of the straight lines..

Find the axis, vertex, focus, equation of directrix length of latus rectum of the parabola (y-2)2=4(x-1).

Find the equation of the parabola whose focus is (1,3) and whose directrix is x-y+2=0.

Find the equation of the parabola which is symmetrical about x-axis and passing through (-2, -3).

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Find the parametric equations of the circle x²+y²=25

Find the angle between the pair of lines represented by the equation 3x²+10xy+8y²+14x+22y+15=0.

Show that the point (7, –5) lies on the circle x²+y²-6x+4y-12=0 and find the coordinates of the other end of the diameter through this point.

Show that the pair of straight lines 4x² +12xy +9y² -6x -9y +2 = 0 represents two parallel straight lines and also find the separate equations of the straight lines..

Find the axis, vertex, focus, equation of directrix length of latus rectum of the parabola (y-2)²=4(x-1).