Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 171-180 of 600 questions.
What is the value of (f(x)=\operatorname{sgn}(x-5)) at (x=5)?
A. (0)
(x=5) पर (x-5=0), इसलिए (\operatorname{sgn}(0)=0)। साइनम में शून्य बिंदु अलग से जांचें। / At (x=5), (x-5=0), so (\operatorname{sgn}(0)=0). Check the zero point separately in signum.
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For (f(x)=\operatorname{sgn}(2x+6)), what is the value when (x<-3)?
A. (-1)
यदि (x<-3), तो (2x+6<0)। इसलिए साइनम फलन का मान (-1) होगा। / If (x<-3), then (2x+6<0). So the value of the signum function is (-1).
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For (f(x)=\operatorname{sgn}(4-x)), what is the value when (x<4)?
A. (1)
यदि (x<4), तो (4-x>0)। इसलिए (\operatorname{sgn}(4-x)=1) है। / If (x<4), then (4-x>0). Therefore (\operatorname{sgn}(4-x)=1).
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What is the value of (f(x)=\lfloor x+2\rfloor) at (x=1.6)?
A. (3)
(x+2=3.6) और \(\lfloor 3.6\rfloor=3\)। पहले अंदर का मान निकालें फिर ग्रेटेस्ट इंटीजर लगाएं। / Here (x+2=3.6) and \(\lfloor 3.6\rfloor=3\). First find the inside value and then apply the greatest integer function.
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What is the value of (f(x)=\lfloor 2x\rfloor) at (x=1.4)?
A. (2)
(2x=2.8) और \(\lfloor 2.8\rfloor=2\)। दशमलव के लिए सबसे बड़ी छोटी या बराबर पूर्णांक संख्या लें। / Here (2x=2.8), and \(\lfloor 2.8\rfloor=2\). For a decimal, take the greatest integer less than or equal to it.
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For (f(x)=\lfloor x\rfloor), which graph part appears on \(x\in[3,4\))?
A. क्षैतिज रेखा (y=3)Horizontal line (y=3)
हर \(x\in[3,4\)) के लिए \(\lfloor x\rfloor=3\)। इसलिए आलेख उस अंतराल पर (y=3) है। / For every \(x\in[3,4\)), \(\lfloor x\rfloor=3\). So the graph on that interval is (y=3).
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What is the value of the fractional part function (f(x)={x}) at (x=-1.2)?
A. (0.8)
\({x}=x-\lfloor x\rfloor\) और \(\lfloor -1.2\rfloor=-2\)। इसलिए ({-1.2}=-1.2-(-2)=0.8)। / \({x}=x-\lfloor x\rfloor\), and \(\lfloor -1.2\rfloor=-2\). Hence ({-1.2}=-1.2-(-2)=0.8).
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What is the value of (f(x)={x+1}) at (x=2.3)?
A. (0.3)
(x+1=3.3) और ({3.3}=0.3)। भिन्नात्मक भाग पूर्णांक भाग हटाने से मिलता है। / Here (x+1=3.3), and ({3.3}=0.3). The fractional part is obtained by removing the integer part.
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What is the (x)-intercept of the line (y=3x-6)?
A. (x=2)
(x)-अक्ष पर (y=0), इसलिए (3x-6=0)। इससे (x=2) मिलता है। / On the (x)-axis, (y=0), so (3x-6=0). This gives (x=2).
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What is the (y)-intercept of the line (2x+y=8)?
A. (8)
(y)-अक्ष पर (x=0), इसलिए (y=8)। अतः (y)-अक्ष प्रतिच्छेद (8) है। / On the (y)-axis, (x=0), so (y=8). Therefore the (y)-intercept is (8).
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