On the off chance that we need to demonstrate that the given three focuses \[\left( \mathbf{3},\text{ }\mathbf{0} \right),\text{ }\left( \text{ }\mathbf{2},\text{ }\text{ }\mathbf{2} \right)\text{...
Point R (h, k) divides a line segment between the axes in the ratio 1: 2. Find the equation of the line.
Allow us to consider, AB be the line portion to such an extent that r (h, k) separates it in the proportion \[\mathbf{1}:\text{ }\mathbf{2}.\] So the directions of An and B be (0, y) and (x, 0)...
P (a, b) is the mid-point of a line segment between axes. Show that equation of the line is x/a + y/b = 2
Leave AB alone a line section whose midpoint is P (a, b). Leave the directions of An and B alone (0, y) and (x, 0) individually. \[\mathbf{a}\text{ }\left( \mathbf{y}\text{ }\text{ }\mathbf{2b}...
find the equation of the line which satisfy the given condition: The owner of a milk store finds that, he can sell 980 litres of milk each week at Rs. 14/litre and 1220 litres of milk each week at Rs. 16/litre. Assuming a linear relationship between selling price and demand, how many litres could he sell weekly at Rs. 17/litre?
Accepting the connection between selling cost and request is direct. Allow us to accept selling cost per liter along X-pivot and request along Y-hub, we have two focuses \[\left(...
find the equation of the line which satisfy the given condition: The length L (in centimetre) of a copper rod is a linear function of its Celsius temperature C. In an experiment, if L = 124.942 when C = 20 and L= 125.134 when C = 110, express L in terms of C.
Allow us to expect 'L' along X axis and 'C' along Y axis, we have two focuses \[\left( \mathbf{124}.\mathbf{942},\text{ }\mathbf{20} \right)\text{ }\mathbf{and}\text{ }\left(...
find the equation of the line which satisfy the given condition: The perpendicular from the origin to a line meets it at the point (–2, 9), find the equation of the line.
Given: Points are origin (0, 0) and (-2, 9). We know that slope, m = (y2 – y1)/(x2 – x1) = (9 – 0)/(-2-0) = -9/2 We realize that two non-vertical lines are opposite to one another if and provided...
find the equation of the line which satisfy the given condition: Find equation of the line through the point (0, 2) making an angle 2π/3 with the positive x-axis. Also, find the equation of line parallel to it and crossing the y-axis at a distance of 2 units below the origin.
Given: \[\mathbf{Point}\text{ }\left( \mathbf{0},\text{ }\mathbf{2} \right)\] and \[\mathbf{\theta }\text{ }=\text{ }\mathbf{2\pi }/\mathbf{3}\] We realize that \[\mathbf{m}\text{ }=\text{...
find the equation of the line which satisfy the given condition: Find equation of the line passing through the point (2, 2) and cutting off intercepts on the axes whose sum is 9
We realize that condition of the line making blocks an and b on x-and y-axis, individually, is \[\mathbf{x}/\mathbf{a}\text{ }+\text{ }\mathbf{y}/\mathbf{b}\text{ }=\text{ }\mathbf{1}\text{ }.\text{...
find the equation of the line which satisfy the given condition: Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).
Given: the line cuts off equivalent captures on the organize tomahawks for example \[\mathbf{a}\text{ }=\text{ }\mathbf{b}.\] We realize that condition of the line blocks an and b on x-and y-pivot,...
find the equation of the line which satisfy the given condition: A line perpendicular to the line segment joining the points (1, 0) and (2, 3) divides it in the ratio 1: n. Find the equation of the line
We realize that the directions of a point separating the line portion joining the focuses (x1, y1) and (x2, y2) inside in the proportion m: n are We know that slope, m = (y2 – y1)/(x2 – x1) = (3 –...
find the equation of the line which satisfy the given condition: Find the equation of the line passing through (–3, 5) and perpendicular to the line through the points (2, 5) and (–3, 6).
Given: Focuses are \[\left( \mathbf{2},\text{ }\mathbf{5} \right)\] and \[\left( -\text{ }\mathbf{3},\text{ }\mathbf{6} \right).\] We realize that slant, \[\mathbf{m}\text{ }=\text{ }\left(...
find the equation of the line which satisfy the given condition: The vertices of ΔPQR are P (2, 1), Q (–2, 3) and R (4, 5). Find equation of the median through the vertex R.
Given: Vertices of ΔPQR for example \[\mathbf{P}\text{ }\left( \mathbf{2},\text{ }\mathbf{1} \right),\text{ }\mathbf{Q}\text{ }\left( -\text{ }\mathbf{2},\text{ }\mathbf{3} \right)\text{...
find the equation of the line which satisfy the given condition: Perpendicular distance from the origin is 5 units and the angle made by the perpendicular with the positive x-axis is 30o.
Given: \[\mathbf{p}\text{ }=\text{ }\mathbf{5}\] and \[\mathbf{\omega }\text{ }=\text{ }\mathbf{30}{}^\circ \] We realize that the condition of the line having typical distance p from the...
find the equation of the line which satisfy the given condition: Passing through the points (–1, 1) and (2, – 4).
Given: Focuses \[\left( -\text{ }\mathbf{1},\text{ }\mathbf{1} \right)\text{ }\mathbf{and}\text{ }\left( \mathbf{2},\text{ }-\text{ }\mathbf{4} \right)\] We realize that the condition of the...
find the equation of the line which satisfy the given condition: Intersecting the y-axis at a distance of 2 units above the origin and making an angle of 30o with positive direction of the x-axis.
Given: \[\mathbf{\theta }\text{ }=\text{ }\mathbf{30}{}^\circ \] We realize that incline, \[\mathbf{m}\text{ }=\text{ }\mathbf{tan}\text{ }\mathbf{\theta }\] \[\mathbf{m}\text{ }=\text{...
find the equation of the line which satisfy the given condition: Intersecting the x-axis at a distance of 3 units to the left of origin with slope –2.
Given: Incline, \[\mathbf{m}\text{ }=\text{ }-\text{ }\mathbf{2}\] We realize that assuming a line L with incline m makes x-capture d, condition of L is \[\mathbf{y}\text{ }=\text{...
find the equation of the line which satisfy the given condition: Passing through (2, 2√3) and inclined with the x-axis at an angle of 75o.
Given: point \[\left( \mathbf{2},\text{ }\mathbf{2}\surd \mathbf{3} \right)\] and \[\mathbf{\theta }\text{ }=\text{ }\mathbf{75}{}^\circ \] Condition of line: \[\left( \mathbf{y}\text{ }\text{...
find the equation of the line which satisfy the given condition: Passing through (0, 0) with slope m.
Given: Point (0, 0) and slant, \[\mathbf{m}\text{ }=\text{ }\mathbf{m}\] We realize that the point (x, y) lies on the line with slant m through the decent point (x0, y0), if and provided that,...
find the equation of the line which satisfy the given condition: Passing through the point (– 4, 3) with slope 1/2
Given: Point (- 4, 3) and incline, \[\mathbf{m}\text{ }=\text{ }\mathbf{1}/\mathbf{2}\] We realize that the point (x, y) lies on the line with incline m through the decent point (x0, y0), if and...
find the equation of the line which satisfy the given condition: Write the equations for the x-and y-axes.
The y-arrangement of each point on x-axis is 0. ∴ Equation of x-axis is$$ \[\mathbf{y}\text{ }=\text{ }\mathbf{0}\] . The x-arrangement of each point on y-axis is 0. ∴ Equation of y-axis is...