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The line 3x-2y k meets the circle

SpletShow that the line \ (y = 2x + 1\) intersects the circle \ ( {x^2} + {y^2} - 6x - 7y + 9 = 0\) and determine the points of intersection. Reveal answer Question Show that the line \ (3y = 2x -... 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...

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SpletUsing the Distance Formula , the shortest distance between the point and the circle is ( x 1) 2 + ( y 1) 2 − r . Note that the formula works whether P is inside or outside the circle. If the circle is not centered at the origin but has a center say ( h, k) and a radius r , the shortest distance between the point P ( x 1, y 1) and the ... Splet24. 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} + … greers whitetop mountain cabin https://dimagomm.com

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Splet12. jul. 2024 · The line 3x + 6y = k intersects the curve 2x2 + 2xy + 3y2 = 1 at points A and B. ... If the straight lines joining the origin and the points of intersection ofthe curve `5x^2 + 1 … 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. SpletŘešte matematické úlohy pomocí naší bezplatné aplikace s podrobnými řešeními. Math Solver podporuje základní matematiku, aritmetiku, algebru, trigonometrii, kalkulus a další oblasti. greer tank anch

geometry - For how many $k$ do the lines $3x-2y-12=0$ and …

Category:The line 3x - 2y + k = 0, with constant k, intersects the curve x^2 + y …

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The line 3x-2y k meets the circle

Further examples on intersections - Circles and graphs - BBC

SpletIf the line 3x + 4y = p makes a triangle of area 24 square unit with the co-ordinate axes then find the value of p. ... Find the equation of the line through the origin which bisects the portion of the line 3x + 2y = 2 intercepted between the co−ordinate axes. VIEW SOLUTION. ... The perpendicular from the origin to a line meets it at (−2, 9 ... Splet02. 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

The line 3x-2y k meets the circle

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SpletAnswer (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 … Splet01. dec. 2024 · The line 3x−2y=k meets the circle x2+y2=4r2 at only one point, if k2 is : (A) 20r2 (CB) 52r2 (C) 952 r2 (D) 920 r2 →∞ is 6. The circle x2+y2−8x+4y+4=0 . Solution For …

SpletArea of circle = π r 2 , where, r = radius of circle. Calculation: Given equations of lines are x - y = 5 and x + y = 7, and area of circle = 50π sq units. We know that the point of intersection of two diameters of a circle is the centre of the circle. On adding x - y = 5 and x + y = 7, we get . 2x = 12. ⇒ x = 6. On putting x = 6 in x - y ... http://mathcentre.ac.uk/resources/uploaded/mc-ty-circles-2009-1.pdf

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 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 …

SpletIf a line, y = mx + c is a tangent to the circle, (x – 3)2 + y2 = 1 and it is perpendicular to a line L1, where L1 is the tangent to the circle, x2 + ... View Question Let the tangents drawn …

Splet23. maj 2024 · A straight line is drawn through the centre of the circle $x^2+y^2-2ax=0$, parallel to straight line $x+2y=0$ and intersecting the circle at $A$ and $B$. Then what is … focal inverted type a nevusSpletDear 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 … greer tax officeSpletIf y = 3x is a tangent to a circle with centre (1, 1), then the other tangent drawn through (0, 0) ... If the line 3x 2y + 6 = 0 meets X-axis and Y-axis respectively at A and B, then the equation of the circle with radius AB and centre at A is [EAMCET 2004] 2 … focal invest\u0027n \u0026 sec\u0027ty agy pl