Concept-wise Practice
remainder_theorem MCQ Questions for Class 10
remainder_theorem se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
Practice Questions
5 questions tagged with remainder_theorem.
यदि (p(x)=2x-3+kx-2-11x+5) को (x+1) से भाग देने पर शेष (7) है, तो (k) क्या है?
If (p(x)=2x-3+kx-2-11x+5) leaves remainder (7) when divided by (x+1), what is (k)?
Explanation opens after your attempt
Step 1
Concept
By the remainder theorem (p(-1)=7), so (-2+k+11+5=7). This gives (k=-7), so none of the listed options is correct.
Step 2
Why this answer is correct
The correct answer is B. (-9). By the remainder theorem (p(-1)=7), so (-2+k+11+5=7). This gives (k=-7), so none of the listed options is correct.
Step 3
Exam Tip
शेष प्रमेय से (p(-1)=7), इसलिए (-2+k+11+5=7)। इससे (k=-7) नहीं बल्कि (k=-7) आता है, इसलिए विकल्पों में सही मान नहीं है।
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यदि (p(x)=2x-3+3x-2-8x+3), तो (x-1) से भाग देने पर शेष क्या है?
If (p(x)=2x-3+3x-2-8x+3), what is the remainder when divided by (x-1)?
Explanation opens after your attempt
Step 1
Concept
The remainder is (p(1)=2+3-8+3=0). On division by (x-a), the remainder is (p(a)).
Step 2
Why this answer is correct
The correct answer is A. (0). The remainder is (p(1)=2+3-8+3=0). On division by (x-a), the remainder is (p(a)).
Step 3
Exam Tip
शेष (p(1)=2+3-8+3=0) है। (x-a) से भाग में शेष (p(a)) होता है।
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यदि (p(x)=2x-3-5x-2+mx+6) को (x+1) से भाग देने पर शेष (0) है, तो (m) क्या है?
If (p(x)=2x-3-5x-2+mx+6) leaves remainder (0) when divided by (x+1), what is (m)?
Explanation opens after your attempt
Step 1
Concept
By remainder theorem (p(-1)=0), so (-2-5-m+6=0), giving (-1-m=0) and (m=-1). Always check signs carefully.
Step 2
Why this answer is correct
The correct answer is A. (-13). By remainder theorem (p(-1)=0), so (-2-5-m+6=0), giving (-1-m=0) and (m=-1). Always check signs carefully.
Step 3
Exam Tip
शेष प्रमेय से (p(-1)=0), इसलिए (-2-5-m+6=0) और (m=-1) नहीं, सही समीकरण (-1-m=0) देता है (m=-1)।
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यदि (p(x)) को (x-4) से भाग देने पर शेषफल (7) है, तो (p(4)) क्या होगा?
If the remainder when (p(x)) is divided by (x-4) is (7), what is (p(4))?
Explanation opens after your attempt
Step 1
Concept
By the remainder theorem, the remainder on division by (x-4) is (p(4)). Therefore, (p(4)=7).
Step 2
Why this answer is correct
The correct answer is B. (7). By the remainder theorem, the remainder on division by (x-4) is (p(4)). Therefore, (p(4)=7).
Step 3
Exam Tip
शेषफल प्रमेय के अनुसार (x-4) से भाग देने पर शेषफल (p(4)) होता है। इसलिए (p(4)=7)।
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\(x^3-5x^2+8x-4\) को (x-1) से भाग देने पर शेषफल क्या होगा?
What is the remainder when \(x^3-5x^2+8x-4\) is divided by (x-1)?
Explanation opens after your attempt
Step 1
Concept
By the remainder theorem, the remainder is (p(1)). We get (1-5+8-4=0).
Step 2
Why this answer is correct
The correct answer is A. (0). By the remainder theorem, the remainder is (p(1)). We get (1-5+8-4=0).
Step 3
Exam Tip
शेषफल प्रमेय से शेषफल (p(1)) है। (1-5+8-4=0) मिलता है।
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