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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 Medium Quiz
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रेखा \(y=-x\) का ग्राफ निम्नलिखित में से किस बिंदु से अवश्य गुजरता है?
The graph of the line \(y=-x\) must pass through which of the following points?
#relations and functions
#graphs of standard functions
#linear functions
#coordinate geometry
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A (3,3)
B (3,-3)
C (2,1)
D (-1,-2)
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बिंदु \((3,-3)\) के लिए \(x=3\) और \(y=-3\) हैं, इसलिए \(y=-x\) सत्य है। विकल्प A में \(x=3\) होने पर \(y=-3\) होना चाहिए, न कि \(3\); इसलिए वह गलत है। परीक्षा में किसी बिंदु की जाँच के लिए उसके \(x\) और \(y\) मानों को सीधे समीकरण में रखें; इस रेखा पर प्रत्येक बिंदु के लिए \(x+y=0\) होता है। / For the point \((3,-3)\), \(x=3\) and \(y=-3\), so it satisfies \(y=-x\). In option A, when \(x=3\), the value of \(y\) should be \(-3\), not \(3\), so it is incorrect. As an exam tip, substitute the coordinates directly into the equation; every point on this line satisfies \(x+y=0\).
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