( |x-1.5|=4.25 ) means the distance of (x) from (1.5) is (4.25). Moving both directions gives ( -2.75 ) and (5.75).
Step 2
Why this answer is correct
The correct answer is A. ( -2.75 ) और (5.75) / ( -2.75 ) and (5.75). ( |x-1.5|=4.25 ) means the distance of (x) from (1.5) is (4.25). Moving both directions gives ( -2.75 ) and (5.75).
Step 3
Exam Tip
( |x-1.5|=4.25 ) का अर्थ (x) की (1.5) से दूरी (4.25) है। दोनों दिशाओं में ( -2.75 ) और (5.75) मिलते हैं।
( |x+2.5|=3.75 ) means the distance of (x) from (-2.5) is (3.75). Moving both ways gives (1.25) and (-6.25).
Step 2
Why this answer is correct
The correct answer is A. (1.25) और (-6.25) / (1.25) and (-6.25). ( |x+2.5|=3.75 ) means the distance of (x) from (-2.5) is (3.75). Moving both ways gives (1.25) and (-6.25).
Step 3
Exam Tip
( |x+2.5|=3.75 ) का अर्थ (x) की (-2.5) से दूरी (3.75) है। दोनों दिशाओं में (1.25) और (-6.25) मिलते हैं।
A. \( \frac{1}{2} \) और \( \frac{15}{2} \)/\( \frac{1}{2} \) and \( \frac{15}{2} \)
Step 1
Concept
\( |x-4|=\frac{7}{2} \) means (x) is at distance \( \frac{7}{2} \) from (4). Moving both directions gives \( \frac{1}{2} \) and \( \frac{15}{2} \).
Step 2
Why this answer is correct
The correct answer is A. \( \frac{1}{2} \) और \( \frac{15}{2} \) / \( \frac{1}{2} \) and \( \frac{15}{2} \). \( |x-4|=\frac{7}{2} \) means (x) is at distance \( \frac{7}{2} \) from (4). Moving both directions gives \( \frac{1}{2} \) and \( \frac{15}{2} \).
Step 3
Exam Tip
\( |x-4|=\frac{7}{2} \) का अर्थ (x) की (4) से दूरी \( \frac{7}{2} \) है। दोनों दिशाओं में \( \frac{1}{2} \) और \( \frac{15}{2} \) मिलते हैं।
( |x+3|=2.5 ) means the distance of (x) from (-3) is (2.5). Moving both ways gives (-0.5) and (-5.5).
Step 2
Why this answer is correct
The correct answer is A. ( -0.5 ) और ( -5.5 ) / ( -0.5 ) and ( -5.5 ). ( |x+3|=2.5 ) means the distance of (x) from (-3) is (2.5). Moving both ways gives (-0.5) and (-5.5).
Step 3
Exam Tip
( |x+3|=2.5 ) का अर्थ (x) की (-3) से दूरी (2.5) है। दोनों दिशाओं में जाने पर (-0.5) और (-5.5) मिलते हैं।
( |x-2|=3) means the distance of (x) from (2) is (3), so (x=-1) or (x=5). Check both directions in distance questions.
Step 2
Why this answer is correct
The correct answer is A. ( -1) और (5) / ( -1) and (5). ( |x-2|=3) means the distance of (x) from (2) is (3), so (x=-1) or (x=5). Check both directions in distance questions.
Step 3
Exam Tip
( |x-2|=3) का अर्थ (x) की (2) से दूरी (3) है, इसलिए (x=-1) या (x=5)। दूरी वाले प्रश्न में दोनों दिशाएँ जाँचें।
(|x-2|=3) means (x) is (3) units away from (2), so (x=-1,5). Place the distance on both sides of the center.
Step 2
Why this answer is correct
The correct answer is A. (-1) और (5) / (-1) and (5). (|x-2|=3) means (x) is (3) units away from (2), so (x=-1,5). Place the distance on both sides of the center.
Step 3
Exam Tip
(|x-2|=3) का अर्थ है (x), (2) से (3) इकाई दूर है, इसलिए (x=-1,5)। केंद्र से दोनों ओर दूरी लगाएँ।
Distance from (0) is (|x|), so (|x|=3.5) gives \(x=\pm3.5\). Distance is always a positive measure.
Step 2
Why this answer is correct
The correct answer is A. (-3.5) और (3.5) / (-3.5) and (3.5). Distance from (0) is (|x|), so (|x|=3.5) gives \(x=\pm3.5\). Distance is always a positive measure.
Step 3
Exam Tip
(0) से दूरी (|x|) होती है, इसलिए (|x|=3.5) के हल \(x=\pm3.5\) हैं। दूरी हमेशा धनात्मक माप होती है।
A. यदि (a<0), तो \(\sqrt{a^2}=|a|\) होता है/If (a<0), then \(\sqrt{a^2}=|a|\)
Step 1
Concept
The principal square root is non-negative so \(\sqrt{a^2}=|a|\). In exams be careful when (a) is negative.
Step 2
Why this answer is correct
The correct answer is A. यदि (a<0), तो \(\sqrt{a^2}=|a|\) होता है / If (a<0), then \(\sqrt{a^2}=|a|\). The principal square root is non-negative so \(\sqrt{a^2}=|a|\). In exams be careful when (a) is negative.
Step 3
Exam Tip
मुख्य वर्गमूल अऋणात्मक होता है इसलिए \(\sqrt{a^2}=|a|\) है। परीक्षा में ऋणात्मक (a) के लिए सावधान रहें।
The principal square root is always non-negative, so \(\sqrt{a^2}=|a|\). In exams do not forget the possibility of negative (a).
Step 2
Why this answer is correct
The correct answer is A. \(\sqrt{a^2}=|a|\). The principal square root is always non-negative, so \(\sqrt{a^2}=|a|\). In exams do not forget the possibility of negative (a).
Step 3
Exam Tip
मुख्य वर्गमूल हमेशा अऋणात्मक होता है, इसलिए \(\sqrt{a^2}=|a|\) है। परीक्षा में (a) ऋणात्मक होने की संभावना न भूलें।
