A straight line makes on the coordinate axes positive intercepts whose sum is 5. If the line passes through the point P(-3, 4), find its equation.

Given, A straight line makes on the coordinate axes positive intercepts whose sum is 5. Let intercept be a on x-axis and b on y-axis. a + b = 5 a = 5 - b .........(1) Intercept form of equation : Substituting values we get : Substituting value of a from equation (1) in above equation : Substituting values of b in equation (1), we get : When b = 2, a = 5 - b = 5 - 2 = 3 When b = 10, a = 5 - b = 5 - 10 = -5. Since, both intercepts are positive, So, a -5. ∴ a = 3 and b = 2 Substituting value of a and b in , we get : Hence, required equation is 2x + 3y = 6.

Find the point on the y-axis whose distances from the points (3, 2) and (-1, 1.5) are in the ratio 2 : 1.

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In what ratio does the point P(a, 2) divide the line segment joining the points A(5, -3) and B(-9, 4) ? Also, find the value of 'a'.

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The line 3x - 4y + 12 = 0 meets x-axis at point A and y-axis at point B. Find :
(i) the coordinates of A and B.
(ii) equation of perpendicular bisector of line segment AB.

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In a triangle PQR, L and M are two points on the base QR, such that ∠LPQ = ∠QRP and ∠RPM = ∠RQP. Prove that :
(i) △PQL ~ △RPM
(ii) QL × RM = PL × PM
(iii) PQ² = QR × QL

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Mathematics

A straight line makes on the coordinate axes positive intercepts whose sum is 5. If the line passes through the point P(-3, 4), find its equation.

Straight Line Eq

Related Questions

Find the point on the y-axis whose distances from the points (3, 2) and (-1, 1.5) are in the ratio 2 : 1.

In what ratio does the point P(a, 2) divide the line segment joining the points A(5, -3) and B(-9, 4) ? Also, find the value of 'a'.

The line 3x - 4y + 12 = 0 meets x-axis at point A and y-axis at point B. Find :
(i) the coordinates of A and B.
(ii) equation of perpendicular bisector of line segment AB.

In a triangle PQR, L and M are two points on the base QR, such that ∠LPQ = ∠QRP and ∠RPM = ∠RQP. Prove that :
(i) △PQL ~ △RPM
(ii) QL × RM = PL × PM
(iii) PQ² = QR × QL

Mathematics

A straight line makes on the coordinate axes positive intercepts whose sum is 5. If the line passes through the point P(-3, 4), find its equation.

Straight Line Eq

Related Questions

Find the point on the y-axis whose distances from the points (3, 2) and (-1, 1.5) are in the ratio 2 : 1.

In what ratio does the point P(a, 2) divide the line segment joining the points A(5, -3) and B(-9, 4) ? Also, find the value of 'a'.

The line 3x - 4y + 12 = 0 meets x-axis at point A and y-axis at point B. Find :(i) the coordinates of A and B.(ii) equation of perpendicular bisector of line segment AB.

In a triangle PQR, L and M are two points on the base QR, such that ∠LPQ = ∠QRP and ∠RPM = ∠RQP. Prove that :(i) △PQL ~ △RPM(ii) QL × RM = PL × PM(iii) PQ2 = QR × QL

The line 3x - 4y + 12 = 0 meets x-axis at point A and y-axis at point B. Find :
(i) the coordinates of A and B.
(ii) equation of perpendicular bisector of line segment AB.

In a triangle PQR, L and M are two points on the base QR, such that ∠LPQ = ∠QRP and ∠RPM = ∠RQP. Prove that :
(i) △PQL ~ △RPM
(ii) QL × RM = PL × PM
(iii) PQ² = QR × QL