WebThe straight line y=2x-2 intersects the curve x²-y=5 at points A and B. Given that A lies below the x-axis and the point P lies on AB as such that AP:PB=3:1. What are the coordinates of P? Kalash Mangal Studied Physics and Computer Science Author has 384 answers and 194.7K answer views 2 y WebThe line y = x + 2 cuts the curve 2x^2 + y ^2 = 5xy + 8 at A and B. What are the coordinates of the midpoint of AB? Solution: 2x^2 + y ^2 = 5xy + 8 or 2x^2 + y ^2 - 5xy = 8 … (1) y = x+2 … (2) Putting the value of y from (2) into (1): 2x^2 + (x+2)^2 -5x (x+2) = 8, or 2x^2 + x^2 + 4x + 4 - 5x^2 - 10x = 8, or -2x^2 - 6x = 4, or x^2 + 3x = -2, or

The line x-2y =2 intersects the curve x+y ^2=10 at two …

WebAnswer (1 of 6): The line y=x-10 intersects the curve x²+y²+4x+6y-40=0 at points A and B. What is length of line AB? The curve is a circle with centre (-2,-3) and radius \sqrt{53}. The point (x,y) on the line is distant \sqrt{(x+2)^2+(y+3)^2}=\sqrt{(x+2)^2+(x-7)^2}=\sqrt{2x^2-10x+53}=\sqrt{2(x-2... halsey tickets texas

The line y=x-10 intersects the curve x²+y²+4x+6y-40=0 at points …

WebTo find these points you simply have to equate the equations of the two lines, where they equal eachother must be the points of intersection. For this example this would mean x 2 +8x-1=3x-7. Collecting like terms leads to x 2 +5x+6=0. And from then this is a simple case of solving the quadratic. This expression factorises to (x+2) (x+3)=0 which ... WebThe line 3x−2= 2y+1= −1z−1 intersects the curve xy=c 2, in xy plane if c is equal to A ±1 B ± 311 C ±5 D none of these Medium Solution Verified by Toppr Correct option is C) we … Web10 mrt. 2014 · A key to easily solving this is lab bhattacharjee's observation that x 2 + x y − 2 y 2 = ( x + 2 y) ( x − y). Therefore, the curve is the union of the lines L 1: x + 2 y = 0 … halston wrap neck jumpsuit