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Both lines “r” and “s” pass through the point (k,9). Line “r” has a slope of −(4/3) and passes through the point (5,-3). Determine the:

Question

(a) value of k. (b) equation of “s” in standard form of ax + by + c = 0, if its x-intercept is -14. (c) equation of line “t” perpendicular to line “r” which passes through the point (k,9) if ...

Secondary Schools 4 years 0 Answers 42 views

The point A(5,-7) is the vertex of the right angle of a right angles triangle whose hypotenuse lies along the line 6x − 13y = 39. A second vertex of the triangle is B(0,-3). Find the remaining vertex C(x,y).

Determine the coordinates of the point P(x,y) on the y-axis such that the line joining it to the point (3,-1) forms a right angle with the line through the points (3,-1) and (-5,-5).

Both lines “r” and “s” pass through the point (k,9). Line “r” has a slope of −(4/3) and passes through the point (5,-3). Determine the:

Find the equation of the perpendicular bisector of the line joining a line segment whose end-points have coordinates (0,2) and (3,6). Put it in the form y = ax + b.

What value of K will make the line containing the points (K,5) and (-2,3) parallel to the line containing the points (6,K) and (2,0)?

Determine the equation of a line which passes through the point N(5,0) and is parallel to the line 3x + 4y = 12.

Find the equation of a straight line that is parallel to the line 3x + 4y = 1 and cuts the x-axis where x = −1. Express your answer in the form ax + by + c = 0 where a, b and c are constants.

Write down the equation of the line which passes through (7,3) and which is inclined at 45° to the positive direction of the x-axis.

If (x + 2) and (x – 1) are factors of f(x)=6x⁴+mx³−13x²+nx+14, find the : (a) values of m and n. (b) remainder when f(x) is divided be (x + 1).

A circle of radius 10 units is circumscribed by a right-angled isosceles triangle. Find the lengths of the sides of the triangle and hence its perimeter (all in 2 decimal places).

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Mathematics