x2 + y2 - 2hx - 2ky + h2 = 0 is the equation of the circle whose centre is
The equation x2 - y2 - 2gx - 2fy + c = 0 represents a circle whose centre is
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The general equation of second degree ax2 + 2hxy - by2 + 2fy + c = 0 represents a circle if
How many independent geometrical conditions are required for determining a circle?
The equation of the circle whose diameter is the line segment joining (x1, y1) and (x1, y2) is given
The intercept made on the x axis by the circle ax2 - ay2 + 2gx - 2fy + c = 0 is given b
The equation of the tangent at any point (x' , y') on the circle X2 - y2 + 2gx = 2fy - c = 0. is given by
The line y = mx + c cuts the circle x2 + y2 = a2, in two points only if
The length of the chord intercepted by the circle x2 + y2 = a2 on the straight line y = mx + c is given by
The line y = mx + c is a tangent to the circle x2 + y2 = a2 at the point on the circle whose coordinates are given by
The equation of a straight line passing through the point (x1, y1, z1) having direction cosines as l, m, n is given by
If the lines
are perpendicular to each other, then k is equal to
What are the coordinates of the point of intersection of the line 3x+4y+5z=5?
The straight line passing through (a,b, c) and parallel to the z-axis is given by
The straight line passing through (a, b, c) and perpendicular to x-axis is given by
To transform the equations of a line from unsymmeirieal form to the symmetrical form, it is necessary to know about
The equations of the line through the point (1,2,4) and parallel to the line 3x + 2y - z = 4, x - 2y - 2z = 5 is given by
The angle between the lines in which the planes 3x - 7y - 5z = 1 and 5x - 13y + 3x + 2 = 0 cut the plane 8x - 11y + 3z = 0, is equal to
The angle between the line and the plane ax+by+cz+d=0, is given by
If the straight line is parallel to the plane ax + by + cz + d = 0, then
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