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.
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What are the slope and (y)-intercept in (12x+3y-21=0)?
B. ढाल (-4), (y)-अवरोध (7)Slope (-4), (y)-intercept (7)
(3y=-12x+21) से (y=-4x+7) मिलता है। इसलिए ढाल (-4) और (y)-अवरोध (7) है। / From (3y=-12x+21), (y=-4x+7). So the slope is (-4) and the (y)-intercept is (7).
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What is the (y)-intercept of (8x-2y+10=0)?
B. (5)
(x=0) रखने पर (-2y+10=0) मिलता है। इससे (y=5), इसलिए (y)-अवरोध (5) है। / Putting (x=0) gives (-2y+10=0). Thus (y=5), so the (y)-intercept is (5).
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If the two lines (y=(q+3)x-6) and (y=11x+2) have the same slope, what is (q)?
D. (8)
समान ढाल के लिए (q+3=11) होना चाहिए। इससे (q=8) मिलता है। / For equal slopes, (q+3=11). This gives (q=8).
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If (y=-7x+s) and (y=4x-12) have the same (y)-intercept, what will (s) be?
A. (-12)
पहली रेखा का (y)-अवरोध (s) और दूसरी का (-12) है। समान होने पर (s=-12) होगा। / The first line has (y)-intercept (s), and the second has (-12). If they are equal, (s=-12).
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B. यह हर (a) के लिए सही हैIt is true for every (a)
ढाल (a-4) और (y)-अवरोध (a) है। उनका अंतर ((a-4)-a=-4) हर (a) के लिए है। / The slope is (a-4) and the (y)-intercept is (a). Their difference ((a-4)-a=-4) holds for every (a).
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The line (y=4x+b) passes through ( (1,9) ) and ( (3,17) ). What is (b)?
B. (5)
पहले बिंदु से (9=4(1)+b) मिलता है। इसलिए (b=5), और दूसरा बिंदु भी सही बैठता है। / From the first point, (9=4(1)+b). So (b=5), and the second point also fits.
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The line (y=mx+1) passes through ( (2,9) ) and ( (5,21) ). What is (m)?
C. (4)
दोनों बिंदुओं से ढाल \(\frac{21-9}{5-2}=4\) है। इसलिए (m=4) है। / The slope from the two points is \(\frac{21-9}{5-2}=4\). Therefore (m=4).
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If (y=(k-6)x+13) and (y=5x+(k+2)) have equal slopes, what is (k)?
C. (11)
समान ढाल के लिए (k-6=5) होगा। इससे (k=11) मिलता है। / For equal slopes, (k-6=5). This gives (k=11).
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If (y=(m-2)x-5) and (y=6x+(m-9)) have the same (y)-intercept, what is (m)?
C. (4)
समान (y)-अवरोध के लिए (-5=m-9) होगा। इससे (m=4) मिलता है। / For equal (y)-intercepts, (-5=m-9). This gives (m=4).
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In the line (y=-5x+18), by how much must (x) increase for (y) to decrease by (35)?
C. (7)
ढाल (-5) है, इसलिए कमी \(5\Delta x\) होगी। \(5\Delta x=35\) से \(\Delta x=7\) है। / The slope is (-5), so the decrease is \(5\Delta x\). From \(5\Delta x=35\), \(\Delta x=7\).
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