Prove that locus of a point which moves such that its
distancefrom a fixed line is equal to length of tangent drawn from
itto a given circle, is a parabola. find focus anddirectrix.

Which value would be a solution for x in the inequality 47-4x< 7

Select 2 statements that are true about the equation y+6=-10(x-3).1) the slope of the line is -102) the slope of the line is 33) one point on the line is (3,6)4) one point on the line is (3,-6)

Consider a cube that has sides of length l. now consider putting the largest sphere you can inside this cube without any point on the sphere lying outside of the cube. the volume ratio -volume of the sphere/ volume of the cube is 1. 5.2 × 10−1 2. 3.8 × 10−1 3. 1.9 4. 2.5 × 10−1 5. 3.8