SpletA equation of line 3 x + 4 y = k and a equation x 2 + y 2 - 2 x - 4 y + 4 = 0 of a circle is given. Rewrite the equation of the circle as follows: x 2 + y 2 - 2 x - 4 y + 4 + 1 - 1 = 0 ⇒ x - 1 2 + y - 2 2 = 1 Therefore, the centre of the given circle is 1, 2 and the radius is 1. Rewrite the equation of line as follows: 3 x + 4 y - k = 0 SpletThe line 3x - 2y + k = 0, where k is a constant, intersects the curve x² + y² - 4x - 9 = 0 at two points. Find the range of values of k. ... LHA_15 . 2010-03-22 06:34:18 UTC. First substitute the equation of the line to the circle and arrange in terms of x or y. In this case, we use x because of the equation. - 2y = -k-3x y = (3x+k)/2 x^2 ...
Edexcel Core Mathematics C12 January 2015 Part 2 - Online Math …
SpletThe equation of normal to the circle straight line x + 2y + 12 = 0, then the 2x2 + 2y2 – 2x – 5y + 3 = 0 at ... 2x – 2y – 11 = 0 53. The line 3x – 2y = k meets the circle x2 + y2 = (c) x2 + … SpletVIDEO ANSWER:in this question, it is given that Y is equal to two x plus three. And also it is given that the center of a circle is zero comma three and its radius is faith. So we need to … kia long island city
The number of integral values of k for which the line, 3x + 4y = k ...
SpletTenOfThem. 18. Alex-Torres. For my next question, I have The line 5x-4y+20=0 meets the y axis at point A, and the x axis at point B. Work out the co-ordinates of points A and B. I … SpletThis straight line also bisects at right angles the chord, which joins the points where they touch the circle such a way such that its distance from the fixed point in the same plane is always constant. i.e. (h – a)2 + (k – b)2 = r2 (x – a)2 + (y – b)2 = r2 ....(1) fixed point is centre of the circle and fixed distance is radius of ... Spletmeets the y-axis at the point A and has a minimum at the point P. (a) Express x2 – 6x + 18 in the form (x – a)2 + b, where a and b are integers. (3) (b) Find the coordinates of P. (2) (c) Find an equation of the tangent to C at A. (4) The tangent to C at A meets the x-axis at the point Q. (d) Verify that PQ is parallel to the y-axis. (1) is luv in the s\\u0026p 500