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Various Forms Of The Equation Of A Line
Class 11 Mathematics - Straight Lines - Various forms of the equation of a line Expert Quiz
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रेखा \(2x-5y=10\) का \(y\)-अक्ष पर प्रतिच्छेद-बिंदु क्या है?
What is the point of intersection of the line \(2x-5y=10\) with the \(y\)-axis?
#graphs
#linear equations
#y-intercept
#coordinate geometry
#relations and functions
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A \((0,-2)\)
B \((0,2)\)
C \((5,0)\)
D \((-5,0)\)
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Correct Answer
A. \((0,-2)\)
Explanation
Simple Explanation
\(y\)-अक्ष पर प्रत्येक बिंदु के लिए \(x=0\) होता है। इसलिए समीकरण में रखने पर \(2(0)-5y=10\), अर्थात् \(y=-2\)। अतः प्रतिच्छेद-बिंदु \((0,-2)\) है। विकल्प B में चिह्न की त्रुटि है, जबकि विकल्प C \(x\)-अक्ष पर प्रतिच्छेद-बिंदु है। परीक्षा-युक्ति: \(y\)-अक्ष के लिए \(x=0\) और \(x\)-अक्ष के लिए \(y=0\) रखें। / Every point on the \(y\)-axis has \(x=0\). Substituting this into the equation gives \(2(0)-5y=10\), so \(y=-2\). Therefore, the intersection point is \((0,-2)\). Option B has the wrong sign, while option C is the \(x\)-intercept. Exam tip: set \(x=0\) for the \(y\)-intercept and \(y=0\) for the \(x\)-intercept.
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