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 671-680 of 700 questions.
If (f(x)=x-2-1) and (g(x)=x-3+f(x)), what is the degree of (g(x))?
C. (3)
(g(x)=x-3+x-2-1) है। सबसे बड़ी घात (3) है। / (g(x)=x-3+x-2-1). The highest power is (3).
Login to save your score, XP, coins and progress.
Which expression is a polynomial with real coefficients and an irrational coefficient?
B. \(\sqrt{7}x^4-3x+2\)
\(\sqrt{7}\) एक वास्तविक गुणांक है और मान्य है। चर की सभी घातें शून्य या धनात्मक पूर्णांक हैं। / \(\sqrt{7}\) is a real coefficient and is allowed. All powers of the variable are non-negative integers.
Login to save your score, XP, coins and progress.
If (p(x)=(a+1)x-2+(a-2)x+5) is to be made a constant polynomial, what is possible?
C. ऐसा कोई (a) नहीं हैNo such (a) exists
स्थिर बहुपद के लिए (a+1=0) और (a-2=0) दोनों चाहिए। ये दोनों एक साथ संभव नहीं हैं। / For a constant polynomial, both (a+1=0) and (a-2=0) are required. These cannot hold together.
Login to save your score, XP, coins and progress.
Which expression is not a polynomial because the power of (x) depends on a variable (n)?
A. \(x^n+2\), जहाँ (n) बदलता है\(x^n+2\), where (n) varies
बहुपद में घातें निश्चित शून्य या धनात्मक पूर्णांक होती हैं। बदलते चर पर निर्भर घात परिभाषा में मान्य नहीं है। / In a polynomial, powers are fixed non-negative integers. A power depending on a varying variable is not valid in the definition.
Login to save your score, XP, coins and progress.
If \(a\neq0\) and (p(x)=ax-7+bx-2+c), what is the degree of (p(x))?
B. (7)
\(a\neq0\) होने से \(x^7\) पद मौजूद रहता है। इसलिए सबसे बड़ी घात (7) है। / Since \(a\neq0\), the \(x^7\) term remains present. Therefore, the highest power is (7).
Login to save your score, XP, coins and progress.
Which expression is a quadratic polynomial but not a trinomial?
C. \(7x^2+5\)
\(7x^2+5\) की घात (2) है और इसमें दो पद हैं। इसलिए यह द्विघात द्विपदी है। / \(7x^2+5\) has degree (2) and two terms. So it is a quadratic binomial.
Login to save your score, XP, coins and progress.
Which expression is a polynomial in (x) but has several middle powers missing?
A. \(x^8+3x^3-2\)
बहुपद में सभी बीच की घातों का होना जरूरी नहीं है। \(x^8+3x^3-2\) में उपस्थित घातें मान्य हैं। / A polynomial need not contain all middle powers. In \(x^8+3x^3-2\), the present powers are valid.
Login to save your score, XP, coins and progress.
If (p(x)=2x-3+(h-5)x+4) has degree (3), what is correct about (h)?
B. कोई भी वास्तविक (h)Any real (h)
\(x^3\) का गुणांक (2) हमेशा अशून्य है। इसलिए घात (3) हर (h) के लिए रहेगी। / The coefficient of \(x^3\) is always non-zero. Therefore, the degree remains (3) for every (h).
Login to save your score, XP, coins and progress.
Why will \(\frac{x^5+x^2}{x^2}\) give a polynomial after simplification or not?
A. यह \(x^3+1\) बनता है, इसलिए बहुपद हैIt becomes \(x^3+1\), so it is a polynomial
\(\frac{x^5+x^2}{x^2}=x^3+1\) है। इसमें घातें (3) और (0) हैं, इसलिए यह बहुपद है। / \(\frac{x^5+x^2}{x^2}=x^3+1\). Its powers are (3) and (0), so it is a polynomial.
Login to save your score, XP, coins and progress.
Which statement is correct about \(x^2+\sin x\)?
B. यह बहुपद नहीं है क्योंकि \(\sin x\) बहुपद पद नहीं हैIt is not a polynomial because \(\sin x\) is not a polynomial term
बहुपद में पद चर की शून्य या धनात्मक पूर्णांक घातों के रूप में होते हैं। \(\sin x\) ऐसा पद नहीं है। / In a polynomial, terms are powers of the variable with non-negative integer exponents. \(\sin x\) is not such a term.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.