Question 1/4
Hard Mathematics
Chapter 2: Polynomials Irrational numbers and real numbers Class 10 Level 27
यदि (p(x)=x-2 -2mx+\(m^2-3\)) है, तो इसके शून्यक किस रूप में होंगे?
If (p(x)=x-2 -2mx+\(m^2-3\)), in what form will its zeroes be?
#general-zeroes
#parameter
#conjugates
A \(m\pm\sqrt{3}\)
B \(m\pm3\)
C \(-m\pm\sqrt{3}\)
D \(2m\pm\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
A. \(m\pm\sqrt{3}\)
Step 1
Concept
The sum is (2m) and product is \(m^2-3\), matching \(m+\sqrt{3}\) and \(m-\sqrt{3}\). Even in general form, match sum and product.
Step 2
Why this answer is correct
The correct answer is A. \(m\pm\sqrt{3}\). The sum is (2m) and product is \(m^2-3\), matching \(m+\sqrt{3}\) and \(m-\sqrt{3}\). Even in general form, match sum and product.
Step 3
Exam Tip
योग (2m) और गुणनफल \(m^2-3\) है, जो \(m+\sqrt{3}\) और \(m-\sqrt{3}\) से मिलता है। सामान्य रूप में भी योग और गुणनफल मिलाएँ।
Login to save your score, XP, coins and progress.
Question 2/4
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि (p(x)) का ग्राफ (x)-अक्ष को ((u,0)), ((v,0)), और ((w,0)) पर काटता है, तो शून्यक कौन-से हैं?
If the graph of (p(x)) cuts the (x)-axis at ((u,0)), ((v,0)), and ((w,0)), what are the zeroes?
#general-zeroes
#coordinates
#x-intercepts
#polynomials
A (u), (v), (w)
B (0), (0), (0)
C (-u), (-v), (-w)
D (u+v+w)
Explanation opens after your attempt
Correct Answer
A. (u), (v), (w)
Step 1
Concept
Zeroes are the (x)-coordinates of the (x)-axis intersections. Therefore the zeroes are (u), (v), and (w).
Step 2
Why this answer is correct
The correct answer is A. (u), (v), (w). Zeroes are the (x)-coordinates of the (x)-axis intersections. Therefore the zeroes are (u), (v), and (w).
Step 3
Exam Tip
शून्यक (x)-अक्ष कटावों के (x)-निर्देशांक होते हैं। इसलिए शून्यक (u), (v), और (w) हैं।
Login to save your score, XP, coins and progress.
Question 3/4
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
यदि ग्राफ (x)-अक्ष को ((m,0)) और ((n,0)) पर काटता है, जहाँ \(m\neq n\), तो वास्तविक शून्यकों की संख्या क्या होगी?
If a graph cuts the (x)-axis at ((m,0)) and ((n,0)), where \(m\neq n\), how many real zeroes will it have?
#general-zeroes
#distinct-points
#x-axis
#easy
A दो / Two
B एक / One
C कोई नहीं / None
D अनंत / Infinite
Explanation opens after your attempt
Step 1
Concept
Two distinct intersection points give two distinct real zeroes. Here the zeroes will be (m) and (n).
Step 2
Why this answer is correct
The correct answer is A. दो / Two. Two distinct intersection points give two distinct real zeroes. Here the zeroes will be (m) and (n).
Step 3
Exam Tip
दो अलग कटाव बिंदु दो अलग वास्तविक शून्यक देते हैं। यहाँ शून्यक (m) और (n) होंगे।
Login to save your score, XP, coins and progress.
Question 4/4
Easy Mathematics
Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22
यदि ग्राफ (x)-अक्ष को ((r,0)) और ((s,0)) पर काटता है, जहाँ \(r\neq s\), तो शून्यक क्या होंगे?
If a graph cuts the (x)-axis at ((r,0)) and ((s,0)), where \(r\neq s\), what are the zeroes?
#general-zeroes
#x-intercepts
#polynomial-graph
#easy
A (r) और (s) / (r) and (s)
B (0) और (0) / (0) and (0)
C (-r) और (-s) / (-r) and (-s)
D (r+s) और (rs) / (r+s) and (rs)
Explanation opens after your attempt
Correct Answer
A. (r) और (s) / (r) and (s)
Step 1
Concept
Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. Hence the zeroes are (r) and (s).
Step 2
Why this answer is correct
The correct answer is A. (r) और (s) / (r) and (s). Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. Hence the zeroes are (r) and (s).
Step 3
Exam Tip
शून्यक (x)-अक्ष के कटाव बिंदुओं के (x)-निर्देशांक होते हैं। इसलिए शून्यक (r) और (s) हैं।
Login to save your score, XP, coins and progress.
