Question 1/4
Expert Mathematics
Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33
\(x^2-2tx+t^2-49=0\) की जड़ों का धनात्मक अंतर क्या है?
What is the positive difference between the roots of \(x^2-2tx+t^2-49=0\)?
#quadratic-roots
#root-pattern
#difference-of-roots
A (7)
B (14)
C (21)
D (49)
Explanation opens after your attempt
Step 1
Concept
The equation is ((x-t)2 -49=0). The roots are (t+7) and (t-7), so the positive difference is (14).
Step 2
Why this answer is correct
The correct answer is B. (14). The equation is ((x-t)2 -49=0). The roots are (t+7) and (t-7), so the positive difference is (14).
Step 3
Exam Tip
समीकरण ((x-t)2 -49=0) है। जड़ें (t+7) और (t-7) हैं, इसलिए धनात्मक अंतर (14) है।
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Question 2/4
Expert Mathematics
Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32
\(x^2-2kx+k^2-25=0\) की जड़ों का धनात्मक अंतर क्या है?
What is the positive difference between the roots of \(x^2-2kx+k^2-25=0\)?
#quadratic-roots
#root-pattern
#difference-of-roots
A (5)
B (10)
C (25)
D (2k)
Explanation opens after your attempt
Step 1
Concept
The equation is ((x-k)2 -25=0). The roots are (k+5) and (k-5), so the positive difference is (10).
Step 2
Why this answer is correct
The correct answer is B. (10). The equation is ((x-k)2 -25=0). The roots are (k+5) and (k-5), so the positive difference is (10).
Step 3
Exam Tip
समीकरण ((x-k)2 -25=0) है। जड़ें (k+5) और (k-5) हैं, इसलिए धनात्मक अंतर (10) है।
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Question 3/4
Expert Mathematics
Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32
\(x^2-2qx+q^2-16=0\) की जड़ों का धनात्मक अंतर क्या है?
What is the positive difference between the roots of \(x^2-2qx+q^2-16=0\)?
#quadratic-roots
#root-pattern
#difference-of-roots
A (4)
B (6)
C (8)
D (16)
Explanation opens after your attempt
Step 1
Concept
The equation is ((x-q)2 -16=0). Thus the roots are (q+4) and (q-4), whose difference is (8).
Step 2
Why this answer is correct
The correct answer is C. (8). The equation is ((x-q)2 -16=0). Thus the roots are (q+4) and (q-4), whose difference is (8).
Step 3
Exam Tip
समीकरण ((x-q)2 -16=0) है। इसलिए जड़ें (q+4) और (q-4) हैं, जिनका अंतर (8) है।
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Question 4/4
Expert Mathematics
Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31
\(x^2-2px+p^2-9=0\) की जड़ों के बारे में कौन-सा कथन सही है?
Which statement is correct about the roots of \(x^2-2px+p^2-9=0\)?
#quadratic-roots
#root-pattern
#perfect-square
A जड़ों का अंतर हमेशा (6) है / The difference of roots is always (6)
B जड़ों का योग हमेशा (6) है / The sum of roots is always (6)
C जड़ों का गुणनफल हमेशा (9) है / The product of roots is always (9)
D जड़ें हमेशा समान हैं / The roots are always equal
Explanation opens after your attempt
Correct Answer
A. जड़ों का अंतर हमेशा (6) है / The difference of roots is always (6)
Step 1
Concept
The equation can be written as ((x-p)2 -9=0). The roots are (p+3) and (p-3), so the difference is (6).
Step 2
Why this answer is correct
The correct answer is A. जड़ों का अंतर हमेशा (6) है / The difference of roots is always (6). The equation can be written as ((x-p)2 -9=0). The roots are (p+3) and (p-3), so the difference is (6).
Step 3
Exam Tip
समीकरण को ((x-p)2 -9=0) लिखा जा सकता है। जड़ें (p+3) और (p-3) हैं, इसलिए अंतर (6) है।
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