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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In the line \(y=\frac{7}{5}x-12\), how much should (x) increase to increase (y) by (28)?
C. (20)
परिवर्तन \(\frac{7}{5}\Delta x=28\) होगा। इससे \(\Delta x=20\) मिलता है। / The change is \(\frac{7}{5}\Delta x=28\). This gives \(\Delta x=20\).
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If (p=-8) and (q=11) in (y=px+q), which statement is correct?
B. रेखा घटती है और (y)-अवरोध धनात्मक हैThe line decreases and the (y)-intercept is positive
(p=-8) ऋणात्मक ढाल देता है और (q=11) धनात्मक (y)-अवरोध देता है। इसलिए रेखा घटती है। / (p=-8) gives a negative slope and (q=11) gives a positive (y)-intercept. So the line decreases.
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If (5x+ay=45) has (y)-intercept (9), what is (a)?
D. (5)
(x=0) रखने पर (ay=45) और \(y=\frac{45}{a}\) मिलता है। \(\frac{45}{a}=9\) से (a=5) है। / Putting (x=0) gives (ay=45) and \(y=\frac{45}{a}\). From \(\frac{45}{a}=9\), (a=5).
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If (bx+10y=70) has slope (-3), what is (b)?
D. (30)
(10y=-bx+70) से ढाल \(-\frac{b}{10}\) है। \(-\frac{b}{10}=-3\) से (b=30) है। / From (10y=-bx+70), the slope is \(-\frac{b}{10}\). From \(-\frac{b}{10}=-3\), (b=30).
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The line (y=(n-7)x+(4n-5)) has (y)-intercept (23). What is its slope?
A. (0)
(4n-5=23) से (n=7) मिलता है। ढाल (n-7=0) है। / From (4n-5=23), (n=7). The slope is (n-7=0).
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The line (y=(t-10)x+(3t-1)) has slope (5). What is its (y)-intercept?
B. (44)
(t-10=5) से (t=15) मिलता है। (y)-अवरोध (3t-1=44) है। / From (t-10=5), (t=15). The (y)-intercept is (3t-1=44).
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Which line cuts the (y)-axis at ((0,-14)) and increases (y) by (54) when (x) increases by (6)?
A. (y=9x-14)
ढाल \(\frac{54}{6}=9\) है और (y)-अवरोध (-14) है। इसलिए रेखा (y=9x-14) है। / The slope is \(\frac{54}{6}=9\) and the (y)-intercept is (-14). So the line is (y=9x-14).
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Which line cuts the (y)-axis at ((0,18)) and decreases (y) by (49) when (x) increases by (7)?
B. (y=-7x+18)
ढाल \(-\frac{49}{7}=-7\) है और (y)-अवरोध (18) है। इसलिए (y=-7x+18) सही है। / The slope is \(-\frac{49}{7}=-7\) and the (y)-intercept is (18). So (y=-7x+18) is correct.
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If (y=(a+9)x+(a-15)) passes through the origin, what will be its slope?
C. (24)
मूल बिंदु से गुजरने के लिए (a-15=0) होगा। इसलिए (a=15) और ढाल (24) है। / To pass through the origin, (a-15=0). Thus (a=15) and the slope is (24).
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If (y=(3u-2)x+(u+6)) has (y)-intercept (16), what is the slope?
B. (28)
(u+6=16) से (u=10) मिलता है। ढाल (3u-2=28) है। / From (u+6=16), (u=10). The slope is (3u-2=28).
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