The line 3x-2y k meets the circle
SpletSince the line $$3x - 2y = k$$ is a tangent to the circle $$x^2 + y^2 = 4r^2$$, perpendicular distance of the line from the centre of the circle must equal the radius. SpletOldja meg matematikai problémáit ingyenes Math Solver alkalmazásunkkal, amely részletes megoldást is ad, lépésről lépésre. A Math Solver támogatja az alapszintű matematika, algebra, trigonometria, számtan és más feladatokat.
The line 3x-2y k meets the circle
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SpletThe line l1 has equation y = 3x + 2 and the line l2 has equation 3x + 2 y – 8 = 0. (a) Find the gradient of the line l2. (2) The point of intersection of l1 and l2 is P. (b) Find the coordinates of P. (3) The lines l1 and l2 cross the line y= 1 at the points A and B respectively. (c) Find the area of triangle ABP. (4) (Total 9 marks) SpletWe can now see that the centre of the circle is (3,−2) and the radius is 5. Example Find the centre and radius of the circle 2x2 +2y2 − 8x− 7y = 0. Solution Notice that this is the equation of a circle, even though the coefficients of x2 and of y2 are not equal to 1. But we can divide throughout by 2, and we get x2 +y2 − 4x− 7 2 y = 0.
SpletEquation of the line is 3 x − 2 y = k ⇒ y = 2 3 x − 2 k ...(i) and equation of the circle is x 2 + y 2 = 4 r 2 . We know that the standard equation of the line is y = m x + c SpletIf the line y =√3x+k touches the circle x2+y2 = 16, then find the value of k. Solution Consider the given equation of a circle as x2+y2 = 16 Centre is (0, 0) and radius =4 as shown …
Splet31. maj 2024 · The line `3x-2y=k` meets the circle `x^(2)+y^(2)=4r^(2)` at only one point, if `k^(2)=` - YouTube. The line `3x-2y=k` meets the circle `x^(2)+y^(2)=4r^(2)` at only one point, if `k^(2)=`. SpletThe discriminant can determine the nature of intersections between two circles or a circle and a line to prove for tangency. ... does not intersect the circle \({x^2} + {y^2} - 2x - 2y - 3 …
SpletQuestion: The lines 2x – 3y = 5 and 3x – 4y = 7 are diameters of a circle of area 154 sq.units.Then the equation of the circle is a) x 2 + y 2 - 2x + 2y = 47 . b) x 2 + y 2 + 2x - 2y …
SpletDear student x² + y² - 5/4 x = 0 centre = (5/8, 0) Line : 3x + 4y - k = 0 If this tan ... If the circle 2x^2+2y^2=5x touches the line 3x+4y=k,find the values ok k. If the circle 2x^2+2y^2=5x … formula pro usa western championshipSplet08. nov. 2024 · the line with equation y=3x-2 does not intersect the circle with centre (0,0) and radius r. find the range of possible values of r. Answer is 0< root 2/5 So far I've … formula pro wheelSpletA equation of line 3 x + 4 y = k and a equation x 2 + y 2 - 2 x - 4 y + 4 = 0 of a circle is given. Rewrite the equation of the circle as follows: x 2 + y 2 - 2 x - 4 y + 4 + 1 - 1 = 0 ⇒ x - 1 2 + y - 2 2 = 1 Therefore, the centre of the given circle is 1, 2 and the radius is 1. Rewrite the equation of line as follows: 3 x + 4 y - k = 0 diffuser dryer toolSplet24. jan. 2024 · The line \ (3x – 2y = k\) meets the circle \ ( {x^2} + {y^2} = 4 {r^2}\) at only point, if \ ( {k^2}=\) Ans: Given: Equation of the line is \ (3x – 2y = k\) circle is \ ( {x^2} + … diffuser downstems adaptorSpletFind the points where the line with equation y = 3x − 4 meets the circle with centre (2,−3) and radius 5. The circle has equation (x−2)2 +(y +3)2 = 25. 12. ... What is the slope of the … diffuser dots roundSpletmeets 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) diffuser do the same as humidifierformula px glass cleaner sds