Question 1/6
Expert Mathematics
Polynomials Polynomials in one variable Class 10 Level 47
(p(x)=x-2+14x+53) का न्यूनतम मान क्या है?
What is the minimum value of (p(x)=x-2+14x+53)?
Explanation opens after your attempt
Step 1
Concept
(x-2+14x+53=(x+7)2+4), so the minimum value is (4). A square term is never negative.
Step 2
Why this answer is correct
The correct answer is B. (4). (x-2+14x+53=(x+7)2+4), so the minimum value is (4). A square term is never negative.
Step 3
Exam Tip
(x-2+14x+53=(x+7)2+4), इसलिए न्यूनतम मान (4) है। वर्ग पद कभी ऋणात्मक नहीं होता।
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Question 2/6
Expert Mathematics
Polynomials Polynomials in one variable Class 10 Level 47
(p(x)=x-2-12x+40) का न्यूनतम मान किस (x) पर आता है?
At which (x) does (p(x)=x-2-12x+40) attain its minimum value?
Explanation opens after your attempt
Step 1
Concept
(x-2-12x+40=(x-6)2+4), so the minimum occurs at (x=6). Completing the square is useful.
Step 2
Why this answer is correct
The correct answer is C. (x=6). (x-2-12x+40=(x-6)2+4), so the minimum occurs at (x=6). Completing the square is useful.
Step 3
Exam Tip
(x-2-12x+40=(x-6)2+4), इसलिए न्यूनतम (x=6) पर आता है। वर्ग पूर्ण करना उपयोगी तरीका है।
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Question 3/6
Hard Mathematics
Polynomials Polynomials in one variable Class 10 Level 48
(p(x)=x-2+10x+29) का न्यूनतम मान क्या है?
What is the minimum value of (p(x)=x-2+10x+29)?
Explanation opens after your attempt
Step 1
Concept
(x-2+10x+29=(x+5)2+4), so the minimum value is (4). A square term is never negative.
Step 2
Why this answer is correct
The correct answer is B. (4). (x-2+10x+29=(x+5)2+4), so the minimum value is (4). A square term is never negative.
Step 3
Exam Tip
(x-2+10x+29=(x+5)2+4), इसलिए न्यूनतम मान (4) है। वर्ग पद कभी ऋणात्मक नहीं होता।
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Question 4/6
Hard Mathematics
Polynomials Polynomials in one variable Class 10 Level 48
(p(x)=x-2-8x+17) का न्यूनतम मान किस (x) पर आता है?
At which (x) does (p(x)=x-2-8x+17) attain its minimum value?
Explanation opens after your attempt
Step 1
Concept
(x-2-8x+17=(x-4)2+1), so the minimum occurs at (x=4). Completing the square is useful.
Step 2
Why this answer is correct
The correct answer is C. (x=4). (x-2-8x+17=(x-4)2+1), so the minimum occurs at (x=4). Completing the square is useful.
Step 3
Exam Tip
(x-2-8x+17=(x-4)2+1), इसलिए न्यूनतम (x=4) पर आता है। वर्ग पूर्ण करना उपयोगी तरीका है।
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Question 5/6
Hard Mathematics
Polynomials Polynomials in one variable Class 10 Level 47
(p(x)=x-2-6x+10) का न्यूनतम मान क्या है?
What is the minimum value of (p(x)=x-2-6x+10)?
Explanation opens after your attempt
Step 1
Concept
(x-2-6x+10=(x-3)2+1), so the minimum value is (1). A square term is never negative.
Step 2
Why this answer is correct
The correct answer is A. (1). (x-2-6x+10=(x-3)2+1), so the minimum value is (1). A square term is never negative.
Step 3
Exam Tip
(x-2-6x+10=(x-3)2+1), इसलिए न्यूनतम मान (1) है। वर्ग पद कभी ऋणात्मक नहीं होता।
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Question 6/6
Hard Mathematics
Polynomials Polynomials in one variable Class 10 Level 47
(p(x)=x-2+4x+5) का न्यूनतम मान किस (x) पर आता है?
At which (x) does (p(x)=x-2+4x+5) attain its minimum value?
Explanation opens after your attempt
Step 1
Concept
(x-2+4x+5=(x+2)2+1), so the minimum occurs at (x=-2). Completing the square is useful.
Step 2
Why this answer is correct
The correct answer is B. (x=-2). (x-2+4x+5=(x+2)2+1), so the minimum occurs at (x=-2). Completing the square is useful.
Step 3
Exam Tip
(x-2+4x+5=(x+2)2+1), इसलिए न्यूनतम (x=-2) पर आता है। वर्ग पूर्ण करना उपयोगी तरीका है।
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