The line through A(3,1) perpendicular to x-4y =8 meets the x-axis at P and the y-axis at Q.Calculate the ratio PA:PQ. Ans: 1:12 (Show working please)
The line through A(3,1) perpendicular to x-4y =8 meets the x-axis at P and the y-axis at Q.Calculate the ratio PA:PQ. Ans: 1:12 (Show working please)
The equations of the sides AB, BC, CA of the triangle ABC are y=2x, y=3x, x+y=8 respectively. Find the equation of the line through C perpendicular to AB.This line meets the x-axis in P and the...
Three points have coordinates A(4,13) , B(9,3) , C(10,8). Find the equation of (a) the line AB (b) the line through C perpendicular to the line y-4x=5 (c) The line through C meets the...
Given that the points P(at^2,2at),Q(a,0) and R(a/t^2 ,(-2at)/t) where a is a positive constant and t>o,show that P,Q and R are collinear .Find,in terms of a and t, (a) The area...
The equations of two parallel lines are 2x+y-1=0 and 2x+y+11=0.Calculate the perpendicular distance between the lines
Each side of a square is 3 cm long. One vertex of the square is at (6,4) on the square coordinate grid marked in centimeter units. What are the possible combinations of another vertex of the...
Show that the equation of the perpendicular bisector of the points (t, t+1) and (3t, t+3) is y+tx=2t^2+t+2.If this perpendicular bisector passes through the point (5,2),calculate...
Two points have coordinates A(3,1) and B(-1,5).Calculate the coordinates of P if P is on the x-axis and is equidistant from A and from B.If the figure APBQ is a rhombus,find the coordinates of Q....
Given the points O(0,0), A(-1.1) and B(1/λ,1/λ^2 ),where λ is greater than zero,show that the area of Δ AOB is (1+λ)/(2λ^2 ) sq units.Find AB in terms of λ.Show that the height from O to...
The line y=2x+7 is parallel to the line y=2x-3.The line y=-0.5x+7 is perpendicular to the line y=2x-3.Calculate the perpendicular distance between the pair of parallel lines.
The line y= 2x+3 intersects the y-axis at A. The points B and C on this line are such that AB=BC.The line through B perpendicular to AC passes through the point D (-1,6).Calculate (a)the...
Given that the points O(0,0)and B(1/? ,1/?^2 )where ? >0,show that the area of ?AOB is (1+?)/(2?^2 ) sq units.Find AB in termsof ? ?.Show that the height from O joining the line A and B is...
The exact question was: "Rotate the coordinate axes to eliminate the xy term. 2x2 + 2(sqrt3)xy + 4y2 - 8 = 0" (sqrt= square root) ...
I don't understand how to do this problem.
What is the area in square units, of a quadrilateral whose vertices are (5,3), (6,-4), (-3,-2), (-4,7)?
3. The pirate Dana the Bold has buried her treasure at a distance of 5 paces (1 pace = 1unit on your coordinate system) from a palm tree located at (−3, 4) and √5 paces from a coconut tree located...
I am really having problems solving the following problems: If (x1,y1) and (x2,y2) are the coordinates of the two vertices on the hypotenuse of a right angled isosceles triangle then the...
Please help!
I just want someone to check my answer and if I get it wrong to show me how to do it! My answer is 2/3
Do you leave the point-slope form as it is or do you need to simplify it to match the slope-intercept form?