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NCERT exemplar Class 10 Maths solutions chapter 4 provides the understanding for forming quadratic equations by the given set of information in the problems. These NCERT exemplar Class 10 Maths chapter 4 solutions are created by our experienced faculties of Mathematics and have undergone a strict quality check so that the students can get accurate and relevant solutions while reviewing the questions of NCERT Solutions for Class 10 Maths.
These NCERT exemplar Class 10 Maths chapter 4 solutions due to their comprehensive nature provide useful insights to the students regarding the concepts of Quadratic Equations given in the NCERT. These NCERT exemplar Class 10 Maths solutions chapter 4 follow the prescribed CBSE syllabus for Class 10.
Question:1
State whether the following quadratic equations have two distinct real roots. Justify your answer.
Answer:
(i) Quadratic equation : A quadratic equation in x is an equation that can be written in the standard form Where a, b and c are real numbers withQuestion:2
Write whether the following statements are true or false. Justify your answers.
(i) Every quadratic equation has exactly one root.
(ii) Every quadratic equation has at least one real root.
(iii) Every quadratic equation has at least two roots.
(iv) Every quadratic equations has at most two roots.
(v) If the coefficient of x^{2} and the constant term of a quadratic equation have opposite signs, then the quadratic equation has real roots.
(vi)If the coefficient of x^{2} and the constant term have the same sign and if the coefficient of x term is zero, then the quadratic equation has no real roots.
Answer:
(i) FalseQuestion:3
A quadratic equation with integral coefficient has integral roots. Justify your answer
Answer:
FalseQuestion:4
Answer:
TrueQuestion:5
Answer:
TrueQuestion:6
Is 0.2 a root of the equation x^{2} – 0.4 = 0? Justify
Answer:
FalseQuestion:7
Answer:
TrueQuestion:1
Find the roots of the quadratic equations by using the quadratic formula in each of the following:
Answer:
(i)Question:2
Find the roots of the following quadratic equations by the factorisation method
Answer:
(ii)Question:8
Answer: 14
At t minutes past 2 pm, the time need by minute hand to show 3 pm = 60 – tQuestion:7
Answer:
length = 34m, breadth = 24mQuestion:6
Answer:
5, 27Question:5
Answer: 14
Let zeba’s current age = xQuestion:4
Answer:
45 km per hour.Question:3
A natural number, when increased by 12, equals 160 times its reciprocal. Find the number.
Answer:8
Let the natural number = xQuestion:2
Answer:
12Question:1
Find whether the following equations have real roots. If real roots exist, find them.
Answer:
(i) We Know that b^{2}-4ac > 0 in the case of real roots and b^{2} - 4ac < 0 in the case of imaginary roots.Question:1
Answer:
Answer(D)Question:2
Which of the following is not a quadratic equation?
Answer:
Question:3
Which of the following equations has 2 as a root ?
Answer:
(C)Question:4
If is a root of the equation , then the value of k is
Answer: (A) 2
As we know that if is a root of the equation then should satisfy its equation.Question:5
Which of the following equations has the sum of its roots as 3?
Answer:
(B)Question:6
Values of k for which the quadratic equation has equal roots is
(A) 0 only (B) 4 (C) 8 only (D) 0, 8
Answer:
(D) 0, 8Question:7
Answer:
Here the given quadratic equation isQuestion:
The quadratic equation has
(A) two distinct real roots (B) two equal real roots
(C) no real roots (D) more than 2 real roots
Answer:
(C) no real rootsQuestion:9
Which of the following equations has two distinct real roots?
Answer:
We know that if roots are distinct and real, thenQuestion:11
has
(A) four real roots (B) two real roots
(C) no real roots (D) one real root.
Answer:
(C) no real rootsRegister for Tallentex '25 - One of The Biggest Talent Encouragement Exam
These Class 10 Maths NCERT exemplar chapter 4 solutions provide a detailed knowledge of quadratic equations. The knowledge of quadratic equations will be useful even for students who do not pursue mathematics in higher classes. For students aspiring for engineering entrance examinations such as JEE Advanced, this chapter will be very important. Quadratic Equations practice problems of competitive level are also provided in the exemplar which can help the student to prepare well for all sorts of examinations.
The Class 10 Maths NCERT exemplar solutions chapter 4 Quadratic Equations cover a wide range of practice problems and solving them can help to excel in other books such as NCERT Class 10 Maths, RD Sharma Class 10 Maths, RS Aggarwal Class 10 Maths et cetera.
Students can easily download the pdf version of these solutions using NCERT exemplar Class 10 Maths solutions chapter 4 pdf download to review these detailed solutions while studying NCERT exemplar Class 10 Maths chapter 4.
Chapter No. | Chapter Name |
Chapter 1 | |
Chapter 2 | |
Chapter 3 | |
Chapter 4 | |
Chapter 5 | |
Chapter 6 | |
Chapter 7 | |
Chapter 8 | |
Chapter 9 | |
Chapter 10 | |
Chapter 11 | |
Chapter 12 | |
Chapter 13 | |
Chapter 14 | |
Chapter 15 |
No, it is not necessary for any quadratic equation to have two roots. Quadratic equation can have a unique root as well as some quadratic equations cannot have any roots or zeros.
The discriminant of quadratic equations is very important to judge the nature of roots.
By evaluating the value of discriminant, we can depict that the given quadratic equation will have any real root or not.
The chapter of Quadratic Equations is important for Board examinations as it holds around 4-5% weightage of the whole paper.
Quadratic Equation is one of the most important topics of Algebra of Class 10 and holds around 8-10% marks of the final paper. If a student practices and refers NCERT exemplar Class 10 Maths solutions chapter 4 he/she can score well in this vertical.
Hello Aspirant, Hope your doing great, your question was incomplete and regarding what exam your asking.
Yes, scoring above 80% in ICSE Class 10 exams typically meets the requirements to get into the Commerce stream in Class 11th under the CBSE board . Admission criteria can vary between schools, so it is advisable to check the specific requirements of the intended CBSE school. Generally, a good academic record with a score above 80% in ICSE 10th result is considered strong for such transitions.
hello Zaid,
Yes, you can apply for 12th grade as a private candidate .You will need to follow the registration process and fulfill the eligibility criteria set by CBSE for private candidates.If you haven't given the 11th grade exam ,you would be able to appear for the 12th exam directly without having passed 11th grade. you will need to give certain tests in the school you are getting addmission to prove your eligibilty.
best of luck!
According to cbse norms candidates who have completed class 10th, class 11th, have a gap year or have failed class 12th can appear for admission in 12th class.for admission in cbse board you need to clear your 11th class first and you must have studied from CBSE board or any other recognized and equivalent board/school.
You are not eligible for cbse board but you can still do 12th from nios which allow candidates to take admission in 12th class as a private student without completing 11th.
Yes, you can definitely apply for diploma courses after passing 10th CBSE. In fact, there are many diploma programs designed specifically for students who have completed their 10th grade.
Generally, passing 10th CBSE with a minimum percentage (often 50%) is the basic eligibility for diploma courses. Some institutes might have specific subject requirements depending on the diploma specialization.
There is a wide range of diploma courses available in various fields like engineering (e.g., mechanical, civil, computer science), computer applications, animation, fashion design, hospitality management, and many more.
You can pursue diplomas at various institutions like:
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