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 591-600 of 600 questions.
The line (y=mx-9) passes through ((18,0)). What is (m)?
A. \(\frac{1}{2}\)
बिंदु रखने पर (0=18m-9) मिलता है। इससे (18m=9) और \(m=\frac{1}{2}\) है। / Substituting the point gives (0=18m-9). Thus (18m=9) and \(m=\frac{1}{2}\).
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If (y=(7a-6)x+(a+5)) has (y)-intercept (17), what is the slope?
B. (78)
(a+5=17) से (a=12) मिलता है। ढाल (7a-6=78) है। / From (a+5=17), (a=12). The slope is (7a-6=78).
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If (y=(b-15)x+(4b+2)) has slope (5), what is the (y)-intercept?
C. (82)
(b-15=5) से (b=20) मिलता है। (y)-अवरोध (4b+2=82) है। / From (b-15=5), (b=20). The (y)-intercept is (4b+2=82).
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What are the slope and (y)-intercept of (9x-10y+30=0)?
A. ढाल \(\frac{9}{10}\), (y)-अवरोध (3)Slope \(\frac{9}{10}\), (y)-intercept (3)
(-10y=-9x-30) से \(y=\frac{9}{10}x+3\) मिलता है। इसलिए ढाल \(\frac{9}{10}\) और (y)-अवरोध (3) है। / From (-10y=-9x-30), \(y=\frac{9}{10}x+3\). So the slope is \(\frac{9}{10}\) and the (y)-intercept is (3).
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If (y=(t+6)x-10) and (y=16x+(2t-9)) have equal slopes, what is the (y)-intercept of the second line?
B. (11)
समान ढाल से (t+6=16) और (t=10) है। दूसरी रेखा का (y)-अवरोध (2t-9=11) है। / Equal slopes give (t+6=16) and (t=10). The second line's (y)-intercept is (2t-9=11).
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C. (26)
समान (y)-अवरोध से (v-11=10) और (v=21) है। दूसरी रेखा की ढाल (v+5=26) है। / Equal (y)-intercepts give (v-11=10) and (v=21). The slope of the second line is (v+5=26).
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In the line \(y=-\frac{9}{5}x+22\), how much should (x) increase to decrease (y) by (54)?
C. (30)
कमी \(\frac{9}{5}\Delta x\) होगी। \(\frac{9}{5}\Delta x=54\) से \(\Delta x=30\) मिलता है। / The decrease is \(\frac{9}{5}\Delta x\). From \(\frac{9}{5}\Delta x=54\), \(\Delta x=30\).
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If (y=(k+8)x+3) increases (y) by (96) when (x) increases by (6), what is (k)?
C. (8)
ढाल (k+8) है और (6(k+8)=96)। इसलिए (k+8=16) और (k=8) है। / The slope is (k+8) and (6(k+8)=96). Therefore (k+8=16) and (k=8).
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If (c=-18) and (m-c=31) in (y=mx+c), what is the slope?
C. (13)
(c=-18) रखने पर (m-(-18)=31) मिलता है। इसलिए (m=13) है। / Putting (c=-18) gives (m-(-18)=31). Therefore (m=13).
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If (m=-6) and (4c+m=42) in (y=mx+c), what is the (y)-intercept?
C. (12)
(m=-6) रखने पर (4c-6=42) मिलता है। इससे (4c=48) और (c=12) है। / Putting (m=-6) gives (4c-6=42). Thus (4c=48) and (c=12).
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