https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:straight-lines-ncert-new/x808831787a7b08a2:distance-between-a-point-and-a-line/v/distance-of-a-line-from-origin 2025-06-25T04:36:24.163902917Z मूल बिंदु से एक रेखा की दूरी In this video, we find the distance of a line from origin. We do this by two different methods. In the first one, we find the foot of the perpendicular. We do this using two facts. First, this point lies on the given line. Second, the perpendicular from the origin is by definition perpendicular to the given line. Once we have the foot, we use distance formula to get the perpendicular length. The second method involves finding area of the triangle that the given line forms with the axes. We find the area using two ways and equate both of them to get the formula for the length of the perpendicular. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw मूल बिंदु से एक रेखा की दूरी In this video, we find the distance of a line from origin. We do this by two different methods. In the first one, we find the foot of the perpendicular. We do this using two facts. First, this point lies on the given line. Second, the perpendicular from the origin is by definition perpendicular to the given line. Once we have the foot, we use distance formula to get the perpendicular length. The second method involves finding area of the triangle that the given line forms with the axes. We find the area using two ways and equate both of them to get the formula for the length of the perpendicular. https://cdn.kastatic.org/ka-youtube-converted/MaIwG2d6wjY.mp4/MaIwG2d6wjY.mp4 602 किसी बिंदु और रेखा के बीच की दूरी (Distance between a point and a line) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:straight-lines-ncert-new/x808831787a7b08a2:distance-between-a-point-and-a-line/v/distance-between-a-line-and-a-point 2025-06-25T04:36:24.163902917Z एक रेखा और एक बिंदु के बीच दूरी In this video, we find the distance between a given point and a line. We first look at a scenario where the point is at the opposite vertex from the origin on the rectangle formed by the intercepts. We then try finding the distance from a different point. We leverage the determinant formula for finding area in such scenarios. The rest of the process remains the same. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw एक रेखा और एक बिंदु के बीच दूरी In this video, we find the distance between a given point and a line. We first look at a scenario where the point is at the opposite vertex from the origin on the rectangle formed by the intercepts. We then try finding the distance from a different point. We leverage the determinant formula for finding area in such scenarios. The rest of the process remains the same. https://cdn.kastatic.org/ka-youtube-converted/cjwFwU-wbJ0.mp4/cjwFwU-wbJ0.mp4 576 किसी बिंदु और रेखा के बीच की दूरी (Distance between a point and a line) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:straight-lines-ncert-new/x808831787a7b08a2:distance-between-a-point-and-a-line/v/derivation-of-distance-formula-for-a-point-and-a-line 2025-06-25T04:36:24.163902917Z एक बिन्दु और एक रेखा के लिए दूरी सूत्र की व्युत्पत्ति In this video, we derive the formula for the distance between a line and a point. We do this by first finding the distance of a given line from a variable point. We then expand on the result by generalising it for a variable line. Finally, we apply the derived formula on the examples we've been using all along. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw एक बिन्दु और एक रेखा के लिए दूरी सूत्र की व्युत्पत्ति In this video, we derive the formula for the distance between a line and a point. We do this by first finding the distance of a given line from a variable point. We then expand on the result by generalising it for a variable line. Finally, we apply the derived formula on the examples we've been using all along. https://cdn.kastatic.org/ka-youtube-converted/5Ee6G85aJbA.mp4/5Ee6G85aJbA.mp4 697 किसी बिंदु और रेखा के बीच की दूरी (Distance between a point and a line) https://hi.khanacademy.org/math/class-12-bridge/x09646558c1ff0797:coordinate-geometry/x09646558c1ff0797:straight-lines/v/distance-between-a-point-and-a-line 2020-07-02T21:56:05Z बिंदु तथा रेखा के बीच की दूरी (Distance between point & line) The distance from a point to a line is the shortest distance between the point and any point on the line. This can be done with a variety of tools like slope-intercept form and the Pythagorean Theorem. Sal Khan video https://cdn.kastatic.org/googleusercontent/tJ0RqrQIAJ9l14zxp0386gc4_knp8W3HrcRc8AWb00xBQMa0jeEi_I9JG0B09CCdeMCAsIR39Sq71hYgpJHLEjCS बिंदु तथा रेखा के बीच की दूरी (Distance between point & line) The distance from a point to a line is the shortest distance between the point and any point on the line. This can be done with a variety of tools like slope-intercept form and the Pythagorean Theorem. https://cdn.kastatic.org/ka-youtube-converted/xCaFkD_KnOg.mp4/xCaFkD_KnOg.mp4 332 किसी बिंदु और रेखा के बीच की दूरी (Distance between a point and a line) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:straight-lines-ncert-new/x808831787a7b08a2:distance-between-a-point-and-a-line/v/distance-between-line-and-a-point-geometric-applications 2025-06-25T04:36:24.163902917Z रेखा और एक बिंदु के बीच की दूरी - ज्यामितीय अनुप्रयोग In this video, we look at a few applications of the distance formula for the perpendicular distance between a point and a line. In the first problem, we're given vertices of a triangle and we need to find the length and equation of the altitude from one of the vertices. In the second problem, we're given the distance of the points from a line and we need to find the coordinates of the points. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw रेखा और एक बिंदु के बीच की दूरी - ज्यामितीय अनुप्रयोग In this video, we look at a few applications of the distance formula for the perpendicular distance between a point and a line. In the first problem, we're given vertices of a triangle and we need to find the length and equation of the altitude from one of the vertices. In the second problem, we're given the distance of the points from a line and we need to find the coordinates of the points. https://cdn.kastatic.org/ka-youtube-converted/Vsuzo5mxnxg.mp4/Vsuzo5mxnxg.mp4 584 किसी बिंदु और रेखा के बीच की दूरी (Distance between a point and a line) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:straight-lines-ncert-new/x808831787a7b08a2:distance-between-a-point-and-a-line/v/distance-between-parallel-lines 2025-06-25T04:36:24.163902917Z समान्तर रेखाओं के बीच की दूरी So far, we've learnt how to find the distance between a point and a line. In this video, we learn how to find the distance between two parallel lines. We do this by finding a convenient point on one of the lines and finding the distance of that point from the other line. We do this for a given set of lines before generalising the result for two variable lines. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw समान्तर रेखाओं के बीच की दूरी So far, we've learnt how to find the distance between a point and a line. In this video, we learn how to find the distance between two parallel lines. We do this by finding a convenient point on one of the lines and finding the distance of that point from the other line. We do this for a given set of lines before generalising the result for two variable lines. https://cdn.kastatic.org/ka-youtube-converted/EdIqSz1ZN6E.mp4/EdIqSz1ZN6E.mp4 430 किसी बिंदु और रेखा के बीच की दूरी (Distance between a point and a line) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:straight-lines-ncert-new/x808831787a7b08a2:distance-between-a-point-and-a-line/v/finding-distance-along-a-line 2025-06-25T04:36:24.163902917Z एक रेखा के ‘अनुदिश’ दूरी ज्ञात करना In this video, we learn how to find the distance of a given point from a given line along a given line. We do this by first finding the equation of the path. We then find the point of intersection. And finally, we find the distance using the distance formula between two points. We then tackle a different problem where we're given the distance and we need to find the direction of the path. We do things in reverse. We find the point of intersection from the given information in this case. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw एक रेखा के ‘अनुदिश’ दूरी ज्ञात करना In this video, we learn how to find the distance of a given point from a given line along a given line. We do this by first finding the equation of the path. We then find the point of intersection. And finally, we find the distance using the distance formula between two points. We then tackle a different problem where we're given the distance and we need to find the direction of the path. We do things in reverse. We find the point of intersection from the given information in this case. https://cdn.kastatic.org/ka-youtube-converted/SLRWhYTjuk4.mp4/SLRWhYTjuk4.mp4 529 किसी बिंदु और रेखा के बीच की दूरी (Distance between a point and a line) https://hi.khanacademy.org/math/class-12-bridge/x09646558c1ff0797:coordinate-geometry/x09646558c1ff0797:straight-lines/e/distance_between_point_and_line 2026-03-25T08:45:54.138212971Z बिंदु तथा रेखा के बीच की दूरी (Distance between point & line) एक बिंदु और एक रेखा के बीच की दूरी ज्ञात करें। ध्यान रखें, कुछ रेखाएँ पूरी तरह से क्षैतिज या ऊर्ध्वाधर हैं। Scott Menke exercise