The line 3x-2y k meets the circle
SpletThe line \(2y = x + 3\) meets the circle \(x^{2} + y^{2} - 2x + 6y - 15 = 0\) at points M and N, where N is in the first quadrant. Find the coordinates of M and N. SpletIntersection of a line and circle There are three ways a line and a circle can be associated, ie the line cuts the circle at two distinct points, the line is a tangent to the circle...
The line 3x-2y k meets the circle
Did you know?
Splet02. avg. 2015 · If the points where the lines 3 x − 2 y − 12 = 0 and x + k y + 3 = 0 intersect both the coordinate axes are concyclic,then the number of possible real values of k is. (A)1 (B)2 (C)3 (D)4. SpletExample 7: The line 3x + 2y = 24 meets y-axis at A and x-axis at B. The perpendicular bisector of AB meets the line through (0,−1) parallel to the x-axis at C. The area of the triangle ABC is A) 182sq.units B) 91sq.units C) 48sq.units D) None of these Solution: The coordinates of A and B are (0, 12) and (8, 0) respectively.
SpletFind the equation of the tangent to the circle \ (x^2 + y^2 = 25\) at the point (3, -4). The tangent will have an equation in the form \ (y = mx + c\) so to find the equation you need to find... Splet02. feb. 2014 · Equation of a Circle Centre at the Origin By Pythagoras Theorem y-axis c OP has length r r is the radius of the circle (x2 + y2 ) = r 2 b a a2+b2=c2 P (x,y) y r O Feb 2, 2014 x www.mathsrevision.com x-axis 3. 4. The Circle Outcome 4 www.mathsrevision.com Higher Find the centre and radius of the circles below x2 + y2 = 7 centre (0,0) & radius ...
Splet03. maj 2024 · Find the equation of a circle passing through the origin if the line pair, xy – 3x + 2y – 6 = 0 is orthogonal to it. If this circle is orthogonal to the circle x 2 + y 2 – kx + 2ky – 8 = 0 then find the value of k. Splet12. jan. 2015 · x + 2y – 3 = 0 The line l1 meets curve C again at the point Q. (b) By solving simultaneous equations, determine the coordinates of the point Q. Another line l2 has equation kx + 2y – 3 = 0, where k is a constant. (c) Show that the line l2 meets the curve C once only when k 2 – 16k + 40 = 0
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 circle C has centre A with coordinates (7, 5). The line l, with equation y — 2x + l, is the tangent to C at the point P, as shown in Figure 3. (a) Show that an equation of the line PA … honduras 2313 bahia blancaSpletQuestion: The lines 2x – 3y = 5 and 3x – 4y = 7 are diameters of a circle of area 154 sq.units.Then the equation of the circle is a) x 2 + y 2 - 2x + 2y = 47 . b) x 2 + y 2 + 2x - 2y … honduran tamales nameSpletAnswer (1 of 6): We find the intersection of the graphs. Subs y = 2x + k into the circle equation… If the line is a tangent there will be only 1 solution, the discriminant must be … honduran restaurant waukeganSplet02. apr. 2024 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site faz leserportalSplet31. maj 2024 · 1) find the values of k which the line y=kx-3 intersects the curve y=x2-9x at two distinct points. i dont know how to do these. and help me do this one too. 2) find the … honduras 1800 bahia blancaSpletTenOfThem. 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 … faz lesenSpletYou know the function of the line (3x + 2y = 26) and you know the formula for the circle is x 2 + y 2 = r 2. 3x + 2y = 26 can be rewritten as y = -3/2x + 14, so the slope of this line is -3/2. Now draw a line that goes through the origin and also through the point of intersection between the tangent and the circle. This line is at a 90 degree ... honduran snake