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 311-320 of 600 questions.
Which polynomial has degree (4)?
A. \(7x^4+0x^5-3x+1\)
\(0x^5\) पद घात नहीं बढ़ाता क्योंकि उसका गुणांक (0) है। सबसे बड़ा शून्येतर घात (4) है। / The term \(0x^5\) does not affect degree because its coefficient is (0). The highest non-zero power is (4).
Login to save your score, XP, coins and progress.
If (p(x)=x-2-5x+6), what is the value of (p(3)-p(2))?
A. (0)
(2) और (3) दोनों शून्यक हैं, इसलिए (p(3)=0) और (p(2)=0)। अतः अंतर (0) है। / Both (2) and (3) are zeroes, so (p(3)=0) and (p(2)=0). Therefore, the difference is (0).
Login to save your score, XP, coins and progress.
If the sum of zeroes of (p(x)=2x-2+kx+8) is (3), what is (k)?
B. (-6)
योग \(-\frac{k}{2}\) होता है और यह (3) है। इसलिए (k=-6) है। / The sum is \(-\frac{k}{2}\), and it equals (3). Hence (k=-6).
Login to save your score, XP, coins and progress.
If the product of zeroes of (p(x)=3x-2-10x+m) is \(\frac{4}{3}\), what is (m)?
A. (4)
गुणनफल \(\frac{m}{3}\) है। \(\frac{m}{3}=\frac{4}{3}\) से (m=4) मिलता है। / The product is \(\frac{m}{3}\). From \(\frac{m}{3}=\frac{4}{3}\), we get (m=4).
Login to save your score, XP, coins and progress.
Which statement about the zeroes of \(x^2-6x+9\) is correct?
B. दोनों शून्यक बराबर हैंBoth zeroes are equal
(x-2-6x+9=(x-3)2) है इसलिए दोनों शून्यक (3) हैं। वर्ग रूप को पहचानना परीक्षा में तेज तरीका है। / (x-2-6x+9=(x-3)2), so both zeroes are (3). Recognizing square form is a fast exam method.
Login to save your score, XP, coins and progress.
If (x-a), (x-b), and (x-c) are factors of a cubic polynomial, which is a possible polynomial?
A. (x-3-(a+b+c)x-2+(ab+bc+ca)x-abc)
((x-a)(x-b)(x-c)) फैलाने पर पहला रूप मिलता है। शून्यकों और गुणनखंडों का संबंध याद रखें। / Expanding ((x-a)(x-b)(x-c)) gives the first form. Remember the link between zeroes and factors.
Login to save your score, XP, coins and progress.
What are the zeroes of \(x^3-6x^2+11x-6\)?
A. (1,2,3)
यह ((x-1)(x-2)(x-3)) के बराबर है। अतः शून्यक (1), (2) और (3) हैं। / It equals ((x-1)(x-2)(x-3)). Therefore, the zeroes are (1), (2), and (3).
Login to save your score, XP, coins and progress.
If (p(x)=x-3-3x-2-4x+12), which is a factor of (p(x))?
A. (x-2)
(p(2)=8-12-8+12=0) है इसलिए (x-2) गुणनखंड है। गुणनखंड प्रमेय का प्रयोग करें। / Since (p(2)=8-12-8+12=0), (x-2) is a factor. Use the factor theorem.
Login to save your score, XP, coins and progress.
If (x+1) is a factor of \(2x^3+kx^2-5x+2\), what is (k)?
A. (5)
(x+1) गुणनखंड होने पर (p(-1)=0) होगा। (-2+k+5+2=0) से (k=-5) नहीं बल्कि (k=-5) मिलता है। / If (x+1) is a factor, then (p(-1)=0). From (-2+k+5+2=0), we get (k=-5).
Login to save your score, XP, coins and progress.
If (x+1) is a factor of \(2x^3+kx^2-5x+2\), what is the correct value of (k)?
A. (-5)
(p(-1)=0) रखने पर (-2+k+5+2=0) मिलता है। इसलिए (k=-5) सही है। / Putting (p(-1)=0) gives (-2+k+5+2=0). Therefore, (k=-5) is correct.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.