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 541-550 of 600 questions.
The line (y=mx-7) passes through ((14,0)). What is (m)?
A. \(\frac{1}{2}\)
बिंदु रखने पर (0=14m-7) मिलता है। इससे (14m=7) और \(m=\frac{1}{2}\) है। / Substituting the point gives (0=14m-7). Thus (14m=7) and \(m=\frac{1}{2}\).
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If (y=(6a-5)x+(a+4)) has (y)-intercept (13), what is the slope?
A. (49)
(a+4=13) से (a=9) मिलता है। ढाल (6a-5=49) है। / From (a+4=13), (a=9). The slope is (6a-5=49).
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If (y=(b-13)x+(3b+1)) has slope (4), what is the (y)-intercept?
B. (52)
(b-13=4) से (b=17) मिलता है। (y)-अवरोध (3b+1=52) है। / From (b-13=4), (b=17). The (y)-intercept is (3b+1=52).
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What are the slope and (y)-intercept of (7x-8y+24=0)?
A. ढाल \(\frac{7}{8}\), (y)-अवरोध (3)Slope \(\frac{7}{8}\), (y)-intercept (3)
(-8y=-7x-24) से \(y=\frac{7}{8}x+3\) मिलता है। इसलिए ढाल \(\frac{7}{8}\) और (y)-अवरोध (3) है। / From (-8y=-7x-24), \(y=\frac{7}{8}x+3\). So the slope is \(\frac{7}{8}\) and the (y)-intercept is (3).
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If (y=(t+5)x-9) and (y=14x+(2t-7)) have equal slopes, what is the (y)-intercept of the second line?
B. (11)
समान ढाल से (t+5=14) और (t=9) है। दूसरी रेखा का (y)-अवरोध (2t-7=11) है। / Equal slopes give (t+5=14) and (t=9). The second line's (y)-intercept is (2t-7=11).
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If (y=5x+(v-9)) and (y=(v+4)x+8) have the same (y)-intercept, what is the slope of the second line?
C. (21)
समान (y)-अवरोध से (v-9=8) और (v=17) है। दूसरी रेखा की ढाल (v+4=21) है। / Equal (y)-intercepts give (v-9=8) and (v=17). The slope of the second line is (v+4=21).
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In the line \(y=-\frac{7}{4}x+18\), how much should (x) increase to decrease (y) by (42)?
C. (24)
कमी \(\frac{7}{4}\Delta x\) होगी। \(\frac{7}{4}\Delta x=42\) से \(\Delta x=24\) मिलता है। / The decrease is \(\frac{7}{4}\Delta x\). From \(\frac{7}{4}\Delta x=42\), \(\Delta x=24\).
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If (y=(k+7)x+2) increases (y) by (75) when (x) increases by (5), what is (k)?
C. (8)
ढाल (k+7) है और (5(k+7)=75)। इसलिए (k+7=15) और (k=8) है। / The slope is (k+7) and (5(k+7)=75). Therefore (k+7=15) and (k=8).
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If (c=-15) and (m-c=26) in (y=mx+c), what is the slope?
C. (11)
(c=-15) रखने पर (m-(-15)=26) मिलता है। इसलिए (m=11) है। / Putting (c=-15) gives (m-(-15)=26). Therefore (m=11).
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If (m=-5) and (3c+m=31) in (y=mx+c), what is the (y)-intercept?
C. (12)
(m=-5) रखने पर (3c-5=31) मिलता है। इससे (3c=36) और (c=12) है। / Putting (m=-5) gives (3c-5=31). Thus (3c=36) and (c=12).
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