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 491-500 of 600 questions.
The line (y=mx-5) passes through ( (12,1) ). What is (m)?
A. \(\frac{1}{2}\)
बिंदु रखने पर (1=12m-5) मिलता है। इससे (12m=6) और \(m=\frac{1}{2}\) है। / Substituting the point gives (1=12m-5). Thus (12m=6) and \(m=\frac{1}{2}\).
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If (y=(5a-2)x+(a+3)) has (y)-intercept (11), what is the slope?
A. (38)
(a+3=11) से (a=8) मिलता है। ढाल (5a-2=38) है। / From (a+3=11), (a=8). The slope is (5a-2=38).
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If (y=(b-11)x+(2b+5)) has slope (2), what is the (y)-intercept?
A. (29)
(b-11=2) से (b=13) मिलता है। (y)-अवरोध (2b+5=31) नहीं, (31) है। / From (b-11=2), (b=13). The (y)-intercept is (2b+5=31), so option (C) is correct.
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What are the slope and (y)-intercept of (5x-6y+18=0)?
A. ढाल \(\frac{5}{6}\), (y)-अवरोध (3)Slope \(\frac{5}{6}\), (y)-intercept (3)
(-6y=-5x-18) से \(y=\frac{5}{6}x+3\) मिलता है। इसलिए ढाल \(\frac{5}{6}\) और (y)-अवरोध (3) है। / From (-6y=-5x-18), \(y=\frac{5}{6}x+3\). So the slope is \(\frac{5}{6}\) and the (y)-intercept is (3).
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If (y=(t+4)x-8) and (y=12x+(2t-5)) have equal slopes, what is the (y)-intercept of the second line?
A. (11)
समान ढाल से (t+4=12) और (t=8) है। दूसरी रेखा का (y)-अवरोध (2t-5=11) है। / Equal slopes give (t+4=12) and (t=8). The second line's (y)-intercept is (2t-5=11).
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If (y=4x+(v-7)) and (y=(v+3)x+5) have the same (y)-intercept, what is the slope of the second line?
C. (15)
समान (y)-अवरोध से (v-7=5) और (v=12) है। दूसरी रेखा की ढाल (v+3=15) है। / Equal (y)-intercepts give (v-7=5) and (v=12). The slope of the second line is (v+3=15).
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In the line \(y=-\frac{5}{3}x+14\), how much should (x) increase to decrease (y) by (40)?
C. (24)
कमी \(\frac{5}{3}\Delta x\) होगी। \(\frac{5}{3}\Delta x=40\) से \(\Delta x=24\) मिलता है। / The decrease is \(\frac{5}{3}\Delta x\). From \(\frac{5}{3}\Delta x=40\), \(\Delta x=24\).
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If (y=(k+6)x+1) increases (y) by (52) when (x) increases by (4), what is (k)?
C. (7)
ढाल (k+6) है और (4(k+6)=52)। इसलिए (k+6=13) और (k=7) है। / The slope is (k+6) and (4(k+6)=52). Therefore (k+6=13) and (k=7).
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If (c=-12) and (m-c=21) in (y=mx+c), what is the slope?
C. (9)
(c=-12) रखने पर (m-(-12)=21) मिलता है। इसलिए (m+12=21) और (m=9) है। / Putting (c=-12) gives (m-(-12)=21). So (m+12=21) and (m=9).
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If (m=-4) and (2c+m=18) in (y=mx+c), what is the (y)-intercept?
C. (11)
(m=-4) रखने पर (2c-4=18) मिलता है। इससे (2c=22) और (c=11) है। / Putting (m=-4) gives (2c-4=18). Thus (2c=22) and (c=11).
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