Web3 okt. 2024 · If the line y = 2x – 3 touches the curve y = x^2 + kx + 6, this means that both equations will be equal as shown: Rewrite in the form The roots has a distinct solution if b² - 4ac > 0 From the equation a = 1 b = k-2 c = 9 Substitute into the formula: Factorize Hence the value of "k" will be value greater than 4 or less than -8 Webthe line y = k x + 1 does not intersect with the graph of y = x 2 − 3 x + 5 at any points Find the range of possible values for k? Can anyone help? algebra-precalculus inequality analytic-geometry quadratics Share Cite Follow edited Dec 7, 2024 at 12:15 Martin Sleziak 51.5k 19 179 355 asked Dec 12, 2012 at 18:37 gandalf 1 1 1 2 Add a comment
If the line x + y 1=0 touches the parabola y 2= k x, then the …
WebIf the line y=kx touches the parabola y=(x−1)2, then the values of k are Q. Find k, if the line x−y+3=0 touches the parabola y2 =4kx Q. If the line x−1=0 is the directrix of the … Web25 feb. 2024 · Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange bollix mississippi
If the straight line x +y = 1 touches the parabola y^2 - y + x = 0 ...
Web13 sep. 2024 · Find the set of values of k for which the line y = 2x −k meets the curve y = x2 +kx − 2 at two distinct points. Precalculus 1 Answer Jim G. Sep 13, 2024 k < 2 or k > 6 Explanation: equating the line and the parabola ⇒ x2 +kx −2 = 2x − k rearrange and equate to zero x2 +kx − 2x − 2 + k = 0 ⇒ x2 +x(k − 2) + (k − 2) = 0 Web5 jul. 2024 · If line y = kx + 4 is tangent to parabola y = x - x2 at point 'P' then find slope of 'OP' where 'O' is vertex of parabola (1) − 3 2 − 3 2 (2) − 5 4 − 5 4 (3) − 5 2 − 5 2 (4) 3 2 3 … Web8 feb. 2024 · k = -1 The point of contact is: (0,-1) Compute the first derivative of the curve: dy/dx = 2-2x The slope of the line is 2, therefore, we set the first derivative equal to 2 and then solve for x: 2 = 2-2x x = 0 larr this is the x coordinate of the point of contact. The y coordinate of the point of contact is found by evaluating the function at x = 0: y = -1+2(0) … bollington joinery