In what ratio does the line x-y-2 0 divide
WebJan 19, 2024 · Find an answer to your question IN WHAT RATIO DOES THE LINE x-y-2=0 divide the line segment joining (3,-1) and (8,9) ? santnhariestava4sto santnhariestava4sto 20.01.2024 Math Secondary School answered IN WHAT RATIO DOES THE LINE x-y-2=0 divide the line segment joining (3,-1) and (8,9) ? See answers Advertisement … WebStep 1: Find (x 1,y 1) and (x 2,y 2) and then applying the section formula. Given: (x 1,y 1)=(−6,10) (x 2,y 2)=(3,−8) (x,y)=(−4,6) Using the section formula,we get, A (-6,10), B (3,-8), C (-4,6) x= m 1+m 2m 1x 2+m 2x 1 ⇒−4= m 1+m 23m 1−6m 2 ⇒−4(m 1+m 2) =3m 1−6m 2 ⇒−4m 1−4m 2 =3m 1−6m 2 ⇒−7m 1=−2m 2 ⇒ m 2m 1= 72 ⇒ Ratio is 2 : 7.
In what ratio does the line x-y-2 0 divide
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WebOct 1, 2024 · ratio in which line segment is divided is 1 : 2 Since, the point is dividing the line segment internally we use section formula: A (x, y) = ( (mx 2 + nx 1) / (m + n), (my 2 + ny 1) / (m + n)) By substituting values as m = 1, n = 2, x 1 = 2, x 2 = 2, y 1 = 1, y 2 = 7 we get A (x, y) = ( (1*2 + 2*2) / (1 + 2), (1*7 + 2*1) / (1 + 2)) WebFeb 19, 2024 · in what ratio does the line x-y-2=0 divide the line segment joining the points (3,-1)and (8,9)Also find co-ordinates of point of intersection. - 2649209
WebBest answer Let the line x - y -2 = 0 divide the line segment joining the points A (3, -1) and B (8,9) in the ratio k :1 at P. Then, the coordinates of P are So, the required ratio is 2/3 :1, which is equal to 2 : 3. ← Prev Question Next Question → Find MCQs & Mock Test JEE Main 2024 Test Series NEET Test Series Class 12 Chapterwise MCQ Test WebProblem in coordinate geometry
WebOct 29, 2024 · Let the line y - x + 2 = 0 divides the line joining the points (3, -1) and (8, 9) in the ratio m : n internally. As we know that, the point of internal division is given as: ( x, y) = ( m x 2 + n x 1 m + n, m y 2 + n y 1 m + n) Here, x 1 = 3, y 1 = - 1, x 2 = 8 and y 2 = 9. WebSolution Let point R divides PQ in the ratio k:1 R = ( m1x2+m2x1 m1+m2, m1y2+m2y1 m1+m2) ⇒ (24 11,y)= ( k(3)+1(2) k+1, k(7)+1(−2) k+1) = ( 3k+2 k+1, 7k−2 k+1) ⇒ 3k+2 k+1 = 24 11 ⇒ 11(3k+2) = 24(k+1) ⇒ 33k+22= 24k+24 ⇒ 33k−24k= 24−22 ⇒ 9k= 2⇒ k= 2 9 ∴ k: 1 =2:9 Now, y = 7k−2 k+1 = 7(2 9)−2 2 9+1 = 14 9−2 2 9+1 = 14−18 9 2+9 9 = −4 11
WebIn an earlier video, we learned how to find the ratio in which a point divides a line segment. Here, let's learn how to find the ratio in which a line divides a line segment. Let's also learn …
WebFeb 2, 2024 · A point P lying one-third of the way from the endpoint A on the line segment AB will divide it in the ratio 1:2. To find this point, follow these simple steps: Calculate the x-coordinate px of this point using the formula px = (2x2 + x1)/3, where x1 and x2 are the x-coordinates of A and B respectively. highest career 3 point percentage nbaWebSolution: In coordinate geometry, the Section formula is used to determine the internal or external ratio at which a line segment is divided by a point. Let the line x-y-2 = 0 divide … how frisbees workhow frog went to heaven scriptWebJan 25, 2024 · In what ratio does the line x-y-2=0 divide the line segment joining the points A (3, -1) and B (8, 9)? Answer: Let the ratio be k:1. And, point of intersection be (X,Y). Now, … highest career batting average in mlb historyWebIn what ratio does the line x - y - 2= 0 divide the line segment joining the points A(3, -1) and B(8, 9)? highest career earnings nhlWebVideo transcript. find the ratio in which the line segment joining 1 comma minus 5 and minus 4 comma 5 is divided by the x axis now we're not being given a point here can you see we've been given a line the x axis is a line so you define how this x axis divides this line segment but what does that really mean that means that you find where this ... highest career earnings nbaWebIn what ratio does the x–axis divide the line segment joining the points (– 4, – 6) and (–1, 7)? Find the coordinates of the point of division. ... Since P lies on x-axis, y coordinate = 0 \frac{\left(7-6k\right)}{(k+1)}=0\\ 7-6k=0\\ k=\frac{7}{6} Therefore, the point of division divides the line segment in the ratio 6 : 7. Now, m1 = 6 ... highest career batting average of all time