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 441-450 of 600 questions.
The line (y=mx-4) passes through ( (10,1) ). What is (m)?
A. \(\frac{1}{2}\)
बिंदु रखने पर (1=10m-4) मिलता है। इससे (10m=5) और \(m=\frac{1}{2}\) है। / Substituting the point gives (1=10m-4). Thus (10m=5) and \(m=\frac{1}{2}\).
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If (y=(4a-1)x+(a+2)) has (y)-intercept (9), what is the slope?
C. (27)
(a+2=9) से (a=7) मिलता है। ढाल (4a-1=27) है। / From (a+2=9), (a=7). The slope is (4a-1=27).
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If (y=(b-9)x+(3b-2)) has slope (1), what is the (y)-intercept?
B. (28)
(b-9=1) से (b=10) मिलता है। (y)-अवरोध (3b-2=28) है। / From (b-9=1), (b=10). The (y)-intercept is (3b-2=28).
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What are the slope and (y)-intercept of (3x-4y+12=0)?
A. ढाल \(\frac{3}{4}\), (y)-अवरोध (3)Slope \(\frac{3}{4}\), (y)-intercept (3)
(-4y=-3x-12) से \(y=\frac{3}{4}x+3\) मिलता है। इसलिए ढाल \(\frac{3}{4}\) और (y)-अवरोध (3) है। / From (-4y=-3x-12), \(y=\frac{3}{4}x+3\). So the slope is \(\frac{3}{4}\) and the (y)-intercept is (3).
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If (y=(t+2)x-6) and (y=9x+(2t-1)) have equal slopes, what is the (y)-intercept of the second line?
B. (13)
समान ढाल से (t+2=9) और (t=7) है। दूसरी रेखा का (y)-अवरोध (2t-1=13) है। / Equal slopes give (t+2=9) and (t=7). The second line's (y)-intercept is (2t-1=13).
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If (y=3x+(v-5)) and (y=(v+2)x+6) have the same (y)-intercept, what is the slope of the second line?
C. (13)
समान (y)-अवरोध से (v-5=6) और (v=11) है। दूसरी रेखा की ढाल (v+2=13) है। / Equal (y)-intercepts give (v-5=6) and (v=11). The slope of the second line is (v+2=13).
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In the line \(y=-\frac{4}{3}x+12\), how much should (x) increase to decrease (y) by (28)?
D. (21)
कमी \(\frac{4}{3}\Delta x\) होगी। \(\frac{4}{3}\Delta x=28\) से \(\Delta x=21\) मिलता है। / The decrease is \(\frac{4}{3}\Delta x\). From \(\frac{4}{3}\Delta x=28\), \(\Delta x=21\).
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If (y=(k+5)x+3) increases (y) by (27) when (x) increases by (3), what is (k)?
B. (4)
ढाल (k+5) है और (3(k+5)=27)। इसलिए (k+5=9) और (k=4) है। / The slope is (k+5) and (3(k+5)=27). Therefore (k+5=9) and (k=4).
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If (c=-9) and (m-c=16) in (y=mx+c), what is the slope?
C. (7)
(c=-9) रखने पर (m-(-9)=16) मिलता है। इसलिए (m+9=16) और (m=7) है। / Putting (c=-9) gives (m-(-9)=16). So (m+9=16) and (m=7).
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If (m=-3) and (3c+m=18) in (y=mx+c), what is the (y)-intercept?
C. (7)
(m=-3) रखने पर (3c-3=18) मिलता है। इससे (3c=21) और (c=7) है। / Putting (m=-3) gives (3c-3=18). Thus (3c=21) and (c=7).
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