Question 1/11
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि ग्राफ (x)-अक्ष को ((10,0)) और ((26,0)) पर काटता है, तो इनके बीच (x=18) की स्थिति क्या है?
If a graph cuts the (x)-axis at ((10,0)) and ((26,0)), what is the position of (x=18) between them?
#midpoint
#zeroes
#graph reasoning
A यह दोनों शून्यकों का मध्य है / It is the midpoint of the two zeroes
B यह शून्यक अवश्य है / It is certainly a zero
C यह (y)-अक्ष कटान है / It is a (y)-axis intercept
D यह सबसे छोटा शून्यक है / It is the smallest zero
Explanation opens after your attempt
Correct Answer
A. यह दोनों शून्यकों का मध्य है / It is the midpoint of the two zeroes
Step 1
Concept
\(18=\frac{10+26}{2}\), so it is the midpoint of the two zeroes. Tip: the midpoint value need not be a zero.
Step 2
Why this answer is correct
The correct answer is A. यह दोनों शून्यकों का मध्य है / It is the midpoint of the two zeroes. \(18=\frac{10+26}{2}\), so it is the midpoint of the two zeroes. Tip: the midpoint value need not be a zero.
Step 3
Exam Tip
\(18=\frac{10+26}{2}\), इसलिए यह दोनों शून्यकों का मध्य है। टिप: मध्य मान का शून्यक होना जरूरी नहीं।
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Question 2/11
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
किसी परवलय के (x)-अक्ष कटान ((-17,0)) और ((9,0)) हैं। उसके शून्यकों के मध्यबिंदु का निर्देशांक क्या है?
The (x)-axis intersections of a parabola are ((-17,0)) and ((9,0)). What is the coordinate of the midpoint of its zeroes?
#midpoint
#zeroes
#parabola
A ((-4,0))
B ((-8,0))
C ((4,0))
D ((0,-4))
Explanation opens after your attempt
Correct Answer
A. ((-4,0))
Step 1
Concept
The midpoint is (\left\(\frac{-17+9}{2},0\right\)=(-4,0)). Tip: on the (x)-axis the midpoint has (y=0).
Step 2
Why this answer is correct
The correct answer is A. ((-4,0)). The midpoint is (\left\(\frac{-17+9}{2},0\right\)=(-4,0)). Tip: on the (x)-axis the midpoint has (y=0).
Step 3
Exam Tip
मध्यबिंदु (\left\(\frac{-17+9}{2},0\right\)=(-4,0)) है। टिप: (x)-अक्ष पर मध्यबिंदु का (y)-मान (0) रहता है।
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Question 3/11
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि ग्राफ (x)-अक्ष को ((8,0)) और ((20,0)) पर काटता है, तो इनके बीच (x=14) की स्थिति क्या है?
If a graph cuts the (x)-axis at ((8,0)) and ((20,0)), what is the position of (x=14) between them?
#midpoint
#zeroes
#graph reasoning
A यह दोनों शून्यकों का मध्य है / It is the midpoint of the two zeroes
B यह शून्यक अवश्य है / It is certainly a zero
C यह (y)-अक्ष कटान है / It is a (y)-axis intercept
D यह सबसे छोटा शून्यक है / It is the smallest zero
Explanation opens after your attempt
Correct Answer
A. यह दोनों शून्यकों का मध्य है / It is the midpoint of the two zeroes
Step 1
Concept
\(14=\frac{8+20}{2}\), so it is the midpoint of the two zeroes. Tip: the midpoint value need not be a zero.
Step 2
Why this answer is correct
The correct answer is A. यह दोनों शून्यकों का मध्य है / It is the midpoint of the two zeroes. \(14=\frac{8+20}{2}\), so it is the midpoint of the two zeroes. Tip: the midpoint value need not be a zero.
Step 3
Exam Tip
\(14=\frac{8+20}{2}\), इसलिए यह दोनों शून्यकों का मध्य है। टिप: मध्य मान का शून्यक होना जरूरी नहीं।
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Question 4/11
Expert Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
किसी परवलय के (x)-अक्ष कटान ((-13,0)) और ((7,0)) हैं। उसके शून्यकों के मध्यबिंदु का निर्देशांक क्या है?
The (x)-axis intersections of a parabola are ((-13,0)) and ((7,0)). What is the coordinate of the midpoint of its zeroes?
#midpoint
#zeroes
#parabola
A ((-3,0))
B ((-10,0))
C ((3,0))
D ((0,-3))
Explanation opens after your attempt
Correct Answer
A. ((-3,0))
Step 1
Concept
The midpoint is (\left\(\frac{-13+7}{2},0\right\)=(-3,0)). Tip: on the (x)-axis the midpoint has (y=0).
Step 2
Why this answer is correct
The correct answer is A. ((-3,0)). The midpoint is (\left\(\frac{-13+7}{2},0\right\)=(-3,0)). Tip: on the (x)-axis the midpoint has (y=0).
Step 3
Exam Tip
मध्यबिंदु (\left\(\frac{-13+7}{2},0\right\)=(-3,0)) है। टिप: (x)-अक्ष पर मध्यबिंदु का (y)-मान (0) रहता है।
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Question 5/11
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि ग्राफ (x)-अक्ष को ((6,0)) और ((18,0)) पर काटता है तो इनके बीच (x=12) की स्थिति क्या है?
If a graph cuts the (x)-axis at ((6,0)) and ((18,0)), what is the position of (x=12) between them?
#midpoint
#zeroes
#graph reasoning
A यह दोनों शून्यकों का मध्य है / It is the midpoint of the two zeroes
B यह शून्यक अवश्य है / It is certainly a zero
C यह (y)-अक्ष कटान है / It is a (y)-axis intercept
D यह सबसे छोटा शून्यक है / It is the smallest zero
Explanation opens after your attempt
Correct Answer
A. यह दोनों शून्यकों का मध्य है / It is the midpoint of the two zeroes
Step 1
Concept
\(12=\frac{6+18}{2}\), so it is the midpoint of the two zeroes. Tip: the midpoint need not be a zero.
Step 2
Why this answer is correct
The correct answer is A. यह दोनों शून्यकों का मध्य है / It is the midpoint of the two zeroes. \(12=\frac{6+18}{2}\), so it is the midpoint of the two zeroes. Tip: the midpoint need not be a zero.
Step 3
Exam Tip
\(12=\frac{6+18}{2}\) है इसलिए यह दोनों शून्यकों का मध्य है। टिप: मध्य बिंदु शून्यक हो यह जरूरी नहीं।
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Question 6/11
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24
यदि परवलय के (x)-अक्ष कटान ((-11,0)) और ((5,0)) हैं तो मध्यबिंदु का निर्देशांक क्या है?
If the (x)-axis intersections of a parabola are ((-11,0)) and ((5,0)), what is the coordinate of the midpoint?
#midpoint
#zeroes
#parabola
A ((-3,0))
B ((-6,0))
C ((3,0))
D ((0,-3))
Explanation opens after your attempt
Correct Answer
A. ((-3,0))
Step 1
Concept
The midpoint is (\left\(\frac{-11+5}{2},0\right\)=(-3,0)). Tip: on the (x)-axis the midpoint has (y=0).
Step 2
Why this answer is correct
The correct answer is A. ((-3,0)). The midpoint is (\left\(\frac{-11+5}{2},0\right\)=(-3,0)). Tip: on the (x)-axis the midpoint has (y=0).
Step 3
Exam Tip
मध्यबिंदु (\left\(\frac{-11+5}{2},0\right\)=(-3,0)) है। टिप: (x)-अक्ष पर मध्यबिंदु का (y)-मान (0) रहता है।
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Question 7/11
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि ग्राफ (x)-अक्ष को ((4,0)) और ((12,0)) पर काटता है, तो इनके बीच (x=8) की स्थिति क्या है?
If a graph cuts the (x)-axis at ((4,0)) and ((12,0)), what is the position of (x=8) between them?
#midpoint
#zeroes
#graph reasoning
A यह दोनों शून्यकों का मध्य है / It is the midpoint of the two zeroes
B यह शून्यक अवश्य है / It is certainly a zero
C यह (y)-अक्ष कटान है / It is a (y)-axis intercept
D यह सबसे छोटा शून्यक है / It is the smallest zero
Explanation opens after your attempt
Correct Answer
A. यह दोनों शून्यकों का मध्य है / It is the midpoint of the two zeroes
Step 1
Concept
\(8=\frac{4+12}{2}\), so it is the midpoint of the two zeroes. Tip: the midpoint need not be a zero.
Step 2
Why this answer is correct
The correct answer is A. यह दोनों शून्यकों का मध्य है / It is the midpoint of the two zeroes. \(8=\frac{4+12}{2}\), so it is the midpoint of the two zeroes. Tip: the midpoint need not be a zero.
Step 3
Exam Tip
\(8=\frac{4+12}{2}\), इसलिए यह दोनों शून्यकों का मध्य है। टिप: मध्य बिंदु शून्यक हो यह जरूरी नहीं।
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Question 8/11
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि परवलय के (x)-अक्ष कटान ((-9,0)) और ((3,0)) हैं, तो मध्यबिंदु का निर्देशांक क्या है?
If the (x)-axis intersections of a parabola are ((-9,0)) and ((3,0)), what is the coordinate of the midpoint?
#midpoint
#zeroes
#parabola
A ((-3,0))
B ((-6,0))
C ((3,0))
D ((0,-3))
Explanation opens after your attempt
Correct Answer
A. ((-3,0))
Step 1
Concept
The midpoint is (\left\(\frac{-9+3}{2},0\right\)=(-3,0)). Tip: on the (x)-axis the midpoint has (y=0).
Step 2
Why this answer is correct
The correct answer is A. ((-3,0)). The midpoint is (\left\(\frac{-9+3}{2},0\right\)=(-3,0)). Tip: on the (x)-axis the midpoint has (y=0).
Step 3
Exam Tip
मध्यबिंदु (\left\(\frac{-9+3}{2},0\right\)=(-3,0)) है। टिप: (x)-अक्ष पर मध्यबिंदु का (y)-मान (0) रहता है।
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Question 9/11
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि ग्राफ (x)-अक्ष को ((2,0)) और ((8,0)) पर काटता है, तो इनके बीच (x=5) की स्थिति क्या है?
If a graph cuts the (x)-axis at ((2,0)) and ((8,0)), what is the position of (x=5) between them?
#midpoint
#zeroes
#graph reasoning
A यह दोनों शून्यकों का मध्य है / It is the midpoint of the two zeroes
B यह शून्यक अवश्य है / It is certainly a zero
C यह (y)-अक्ष कटान है / It is a (y)-axis intercept
D यह सबसे बड़ा शून्यक है / It is the greatest zero
Explanation opens after your attempt
Correct Answer
A. यह दोनों शून्यकों का मध्य है / It is the midpoint of the two zeroes
Step 1
Concept
\(5=\frac{2+8}{2}\), so it is the midpoint of the two zeroes. Tip: a midpoint need not be a zero.
Step 2
Why this answer is correct
The correct answer is A. यह दोनों शून्यकों का मध्य है / It is the midpoint of the two zeroes. \(5=\frac{2+8}{2}\), so it is the midpoint of the two zeroes. Tip: a midpoint need not be a zero.
Step 3
Exam Tip
\(5=\frac{2+8}{2}\), इसलिए यह दोनों शून्यकों का मध्य है। टिप: मध्य का शून्यक होना जरूरी नहीं।
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Question 10/11
Hard Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि किसी परवलय के (x)-अक्ष कटान ((-7,0)) और ((1,0)) हैं, तो उसके शून्यकों के मध्यबिंदु का निर्देशांक क्या है?
If the (x)-axis intersections of a parabola are ((-7,0)) and ((1,0)), what is the coordinate of the midpoint of its zeroes?
#midpoint
#zeroes
#parabola
A ((-3,0))
B ((-4,0))
C ((3,0))
D ((0,-3))
Explanation opens after your attempt
Correct Answer
A. ((-3,0))
Step 1
Concept
The midpoint is (\left\(\frac{-7+1}{2},0\right\)=(-3,0)). Tip: on the (x)-axis the midpoint has (y=0).
Step 2
Why this answer is correct
The correct answer is A. ((-3,0)). The midpoint is (\left\(\frac{-7+1}{2},0\right\)=(-3,0)). Tip: on the (x)-axis the midpoint has (y=0).
Step 3
Exam Tip
मध्यबिंदु (\left\(\frac{-7+1}{2},0\right\)=(-3,0)) है। टिप: (x)-अक्ष पर मध्यबिंदु का (y)-मान (0) रहता है।
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Question 11/11
Medium Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि शून्यक (-2) और (6) हैं, तो (x)-अक्ष कटान बिंदुओं का मध्यबिंदु कौन सा है?
If the zeroes are (-2) and (6), what is the midpoint of the (x)-axis intersection points?
#midpoint
#zeroes
#graph
A ((2,0))
B ((4,0))
C ((-4,0))
D ((0,2))
Explanation opens after your attempt
Correct Answer
A. ((2,0))
Step 1
Concept
The midpoint of ((-2,0)) and ((6,0)) is ((2,0)). Tip: when (y)-values are equal, average the (x)-values.
Step 2
Why this answer is correct
The correct answer is A. ((2,0)). The midpoint of ((-2,0)) and ((6,0)) is ((2,0)). Tip: when (y)-values are equal, average the (x)-values.
Step 3
Exam Tip
बिंदु ((-2,0)) और ((6,0)) का मध्यबिंदु ((2,0)) है। टिप: समान (y)-मान हो तो केवल (x)-मानों का औसत लें।
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