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तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा ११

Find the combined equation of the straight lines whose separate equations are x − 2y − 3 = 0 and x + y + 5 = 0

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प्रश्न

Find the combined equation of the straight lines whose separate equations are x − 2y − 3 = 0 and x + y + 5 = 0

योग
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उत्तर

Separate equations are

x – 2y – 3 = 0

x + y + 5 = 0

So the combined equation is

(x – 2y – 3)(x + y + 5) = 0

x2 + xy + 5x – 2y2 – 2xy – 10y – 3x – 3y – 15 = 0

(i.e) x2 – 2y2 – xy + 2x – 13y – 15 = 0

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Pair of Straight Lines
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Two Dimensional Analytical Geometry - Exercise 6.4 [पृष्ठ २८१]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 6 Two Dimensional Analytical Geometry
Exercise 6.4 | Q 1 | पृष्ठ २८१

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