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If the line y kx touches

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 https://bassfamilyfarms.com

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

Line touches a curve. Find a value of $x$ in the quadratic curve

Category:[Solved] For what value of k does the line x + y = 1 touches the …

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If the line y kx touches

If line y = kx + 4 is tangent to parabola y = x - Sarthaks

Web5 apr. 2024 · Talk to our experts. 1800-120-456-456. Sign In. Questions &amp; Answers Web5 apr. 2024 · The line (x + g) cosθ + (y + f) sinθ = k touches the circle x^2 + y^2 + 2gx + 2fy + c = 0 only its asked Apr 5, 2024 in Co-ordinate geometry by Ankitk ( 74.5k points) circle

If the line y kx touches

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WebSolution: A line y = mx +c touches a parabola y2 = 4ax if c = ma. Hence, for the line y = 3x +1 and parabola y2 = kx, we have. m = 3,c = 1 and a = 4k. Using, c = ma, we get. 1 = … WebIf we have a line y = mx + c touching a parabola y 2 = 4ax, then c = a/m Calculation: Given: line x + y = 1 touches the parabola y 2 = kx We can write the equation of line as: ⇒ y = -x + 1 Therefore m = -1 and c = 1 Now, given curve is y 2 = kx Compare with standard equation of parabola y 2 = 4ax ⇒ 4a = k ∴ a = k/4

WebEvery line (inparticular, tangent) may have only one equation of the form y = k x + b. If you have y = ( 2 a − 8) x − a 2 + and = − 2 then ...? – njguliyev Sep 2, 2013 at 15:42 Therefore b = − a 2 + 7 and − 2 = b, therefore − 2 = − a 2 + 7 which is the same as 2 = a 2 − 7 or as you put it a 2 − 7 = 2, thank you very much – Joshua Web25 nov. 2024 · Correct Answer - B. We have, x + y − 1 = 0 ⇒ y = − x + 1 x + y - 1 = 0 ⇒ y = - x + 1. This will touch the parabola y2 = kx, y 2 = k x, if. 1 = k/4 −1 [putting c=1, a=k/4 and …

WebIf the line y=kx touches the parabola y=(x−1) 2, then the values of k are A 2,−2 B 0,4 C 0,−2 D 0,2 E 0,−4 Medium Solution Verified by Toppr Correct option is E) Put y=kx in y=(x−1) 2, we get kx=(x−1) 2 ⇒x 2−(k+2)x+1=0 .... (i) For line y=kx to be tangent, … Web11 apr. 2024 · If the line cuts through the circle, there will be two points of intersection If the line is a tangent to the circle, there will be one point of intersection If the line misses the circle,...

Web11 jan. 2024 · Show that the line x+y-2=0 touches the Parabola x^2=-8y. Find the co-ordinate of the point of contact. asked May 20, 2024 in Parabola by lusifertom ( 65 points)

WebIf the lines x + y – 1 = 0 touches the parabola y 2 = kx, then the value of k x + y – 1 ... (2) Substituting (2) in (1) (1 – If the lines x + y – 1 = 0 touches the parabola y 2 = kx, then the value of k x + y – 1 = 0 or y = 1 – x …. (1) Y 2 = kx ... The given line is tangent to the parabola which touches the parabola one and only ... bollmann essenWeb29 nov. 2024 · If y = e^x and y = kx^2 touches each other, then find k. ← Prev Question Next Question →. 0 votes. 7.3k views. asked Nov 29, 2024 in Limit, continuity and … bollmann spielmannWeb25 nov. 2024 · If the line x + y - 1 = 0 touches the parabola `y^(2)=kx,` thn the value of k, is A. 4 B. -4 C. 2 D. -2. LIVE Course for free. Rated by 1 million+ students Get app ... For what value of the parameter b does the line with equation y = 5 x + b touches the parabola y = -x 2 - 3 x - 9 at one point ? asked Mar 1, 2024 in Parabola by ... bollmann sanitätshausWeb12 mrt. 2024 · Hint: First of all write x + y = k as y = k – x. Then, from both equations we can equate y and get a quadratic equation. Since the line touches the parabola, the roots … bollmannsruh 13 14778 päwesinWebMar 21,2024 - The straight line x + y = k + 1 touches the parabola y = x(1 – x) ifa)k = -1b)k = 0c)k = 1d)k takes any realvalueCorrect answer is option 'B'. Can you explain this answer? EduRev JEE Question is disucussed on EduRev Study Group by 196 JEE Students. bollmann thielalleeWebIf the line y = kx touches the parabola y = (x− 1)2, then the values of k are 1781 33 KEAM KEAM 2015 Report Error A 2, -2 B 0, 4 C 0, -2 D 0, 2 E 0, -4 Solution: Put y = kx in y = … bollo veneto onlineWeb6 jan. 2024 · Since, the line touches the parabola if both real roots of the above quadratic equation are equal, we have the determinant (D) is given by: = 0 On comparing given … bollmann zittau