10th Maths Quadratic Equation Worksheet For CBSE Students]

Central Public School,Samastipur And Sadhana Devi Vidyapith, Samastipur [Student Practice]

Quadratic Equations  : Contents

1. Standard form of a quad. Equations:  ax2 + bx + c = 0 (a ≠ 0)2. Solution of the quadratic equations only real roots by 

(a) Factorization           (b) Completing the square                (c) Quadratic formula

3. Relationship between discriminant and nature of roots.
if D > 0 => Real & Distinct Roots         if D = 0 => Real & Equal Roots       if D < 0 => No Real Roots

4. Problems related to day to day activities

Learning Objective: To learn the following facts

1. A second degree Equation of the form ax2 + bx + c = 0 where a, b, c are real numbers and a ≠ 0 are called quadratic eqn.
2. If ax2 + bx + c = 0 equivalent to (x – a) (x – b) = 0 then x = a and x = b is a solution.
3. If ax2 + bx + c = 0 has a & b as roots of eqn then sum of roots = – b/a. Product of roots = c/a.
4. (b2 – 4ac) is called the discriminant of the eqn and

Key Term

1. Roots of an eqn.         2. Discriminant          3. Real & Non Real Roots    
 4. Quadratic Formula

Practice PaperQ. Which constant should be added and subtracted to solve the quadratic equation 4x2 - Ö3x -5=0 by the method of completing the squares ?
(A) 9/16         (B) 3/16    (C)3/4  (D) Ö3/4
Q. If the discriminant of the equation 6x2-bx+2=0 is 1, then the value of ‘b’ is :
 (A) 7 (B) -7 (C) ±7 (D) ±Ö7
Q. The value of k for which roots of the quadratic equation kx2+ 2x+3= 0 are equal is :
A) 1/3 (B) - 1/3  (C) 3 (D) -3
Q. ax2+ bx+ c= 0, a > 0, b= 0, c > 0 has
(A) two equal real roots (B) one real root (C) two distinct real roots (D) no real rootsQ. If the roots of the equation 12x2+ mx+ 5= 0 are real and different then m is equal to :
(A) 8Ö15  (B) 2Ö15    (C) 4Ö15   (D) 10Ö5                       
Q. Which of the following equations has the sum of roots as 3 ?
(A) 2x2- 3x+6 =0 (B) -x2 + 3x -3 = 0 (C) Öx2 – (3/Ö2)x + 1 = 0 (D) 3x2 - 3x -3 = 0
Q . Which of the following is a quadratic equation?
(i) x2+5x +6 = 0 (ii) 3x+ 4/Öx   + 5 = 0 (iii)  Öx + 2x + 3= 0 (iv) 3x2 – 27/x = 0
Q. The value of(a) –2                (b) –4                (c) 2    (d) 4 Q. If the equation kx2-2kx+6=0 has equal roots, then find the value of k.
Q. Find the roots of the following quadratic equation x2- ( x/5  ) + (1/100) = 0
Q. Find the roots of the equation ax2+ a=a2x+x
Q. Solve for x : 4Ö3 x2+ 5x-2 =0
Q. Solve for x :  2Q. Solve for x : ax2+ (4a2- 3b)x-12ab = 0
Q. Solve the quadratic equation 9x2 - 15x+ 6= 0 by the method of completing the square
Q. Solve for x :Ö5 x2- 3 Ö6 x- Ö20 =0
Q. Solve for x : 9x2 -  9(a+ b)x+ [2a2+5ab+2b2] = 0.
Q. Solve for x, 12abx2 - (9a2  +8b2)x + 6ab = 0.
Q. Find the roots of the quadratic equation :
(1/3)x 2 - Ö11 x + 1 = 0
Q. Solve for x :
Q. Solve for x:   [Ans: x=-a ; or, x =-  b/2 ]
You may get full questions paper in  PDF  Quadratic Equations
10th Maths SA-2 Chapter wise Test Papers
Quadratic Equations
Arithmetic Progressions
Height and Distance
Co-ordinate Geometry
Circles
Area Related to Circles
Surface Areas and Volumes
Probability

Comments

Post a Comment

Popular Post

Obtaining and Utilization Food Class 7 Science Solved question (Basic Science Questions answers)

Image
A. Answer these questions 1. Name the three life process help living being to procure energy from food? Answer: Three life processes that help living organisms to procure energy from food are: (i) Digestion (Nutrition) (ii) Respiration (iii) Transportation 2. What are Autotrophs? Name an organism other than other than green plant that is an autotroph. Answer: Autotrophs are organisms that can prepare their own food. Chlamydomonas is a type of green algae which is an example of an autotroph, other than green plants. Cyanobacteria are also an example of autotroph. 3. Name three type of heterotrophic nutrition Answer: Three types of heterotrophic nutrition are: (i) Saprophytic nutrition (ii) Parasitic nutrition (iii) Holozoic nutrition 4. What are enzymes? Answer: Enzymes are chemical substances that act as biological catalysts and are important for carrying out biochemical processes, such as digestion, in our body ...
Read more

9th Atoms and Molecules Question bank By KV For CBSE Board

CHAPTER - 3 “Atoms and Molecules” 1. Laws of Chemical Combination 2. John Dalton's Atomic Theory 3. Atoms, ions & Chemical Formula 4. Mole Concept 5. Molar Mass & Avogadro constant Download Test Paper with solution CBSE Study By Jsunil ********************************************************************************* 1 Mark Questions: 1. Who gave law of conservation of mass ? 2. What term is used to represent the mass of 1 mole molecules of a substance? 3. What name is given to the number 6.023 x 10 23 ? 4. What is molecular mass? 5. Give Latin names for sodium & mercury. 6. *How many atoms are there in exactly 12 g of carbon ? 7. Define mole. 8. Calculate formula unit mass of CaCl2. [ At. Mass : Ca = 40 u , Cl = 35.5 u ] 9. Name a diatomic gas. 10. How many atoms are present in H 2 SO 4 . ...
Read more

Physics : Class X Chapter: ELECTRICITY Assignment 2012-13

Image
Sadhana Devi Vidyapith, Samastipur ASSIGNMENT -1, (2012-13) By JSUNIL   Sub. – Physics, Class - X   Chapter -ELECTRICITY One mark questions 1. Define the term “electric current”. 2. Define the term ‘resistivity’ of a material. 3. How is a Voltmeter connected in the circuit to measure the potential difference between two points? 4. You have two metallic wires of resistances 6 ohm and 3 ohm. How will you connect these wires to get the effective resistance of 2 ohm? 5. If the distance between two electric charges is doubled, how much will the force exerting between them change to? Two marks questions 6. State Ohm’s law. “The resistance of a conductor is 1Ω.” What is meant by this statement? 7. Why are coils of electric toaster made of an alloy rather than a pure metal? 8. Why is the series arrangement not used for domestic circuits? 9. A wire of resistivity ‘r’ is stretched to double its length. How does it affect the (a) resistance (b) resistivity? 10. Write tw...
Read more

Class IX assignment Chapter: Sound

9 th Chapter: sound –Guess Questions for practice 1. If you place some small blades on a drum, what will you observe when you beat this drum with a drum stick? Explain. 2. Describe an activity with a (a) metre scale (b) rubber band to show that only a vibrating body produces sound. 3. With the help of tuning fork demonstrate that sound is produced by a vibrating body. 4. What is vibrating in the following musical instruments producing by a musical sound? (a) Violin (b) drum (c) saxophone (d) flute (e) guitar (f) dholak (g) tabla (h) sitar 5. What is medium? What constitutes the medium? 6. Describe an activity to show sound travels faster through a solid medium than through a gaseous medium. 7. Describe an activity to show sound travels faster through a solid medium than through a liquid medium. 8. Describe the experiment to demonstrate that waves do not c...
Read more

CBSE Class 9 - Biology - CH6 – Animal Tissues Trend Setter Solved Problems

Image
CBSE Class 9 - Biology - CH6 – Animal Tissues Trend Setter Solved Problems Q1: Based on functions performed, list the types of animal tissues. Answer: Four Category types: 1. Epithelial tissue 2. Connective tissue 3. Nervous tissue 4. Muscle tissue Q2: Which tissues are called covering or protective tissues? Answer: Epithelial Q3: Where do we find epithelial tissues on animal body? Answer: A few examples are:  skin  the lining of the mouth  the lining of blood vessels  lung alveoli  kidney tubules Q4: What are the general identifying features of epithelial tissues? Answer: 1. Tightly packed cells and form a continuous sheet. 2. Tissue is avascular i.e. without blood vessels. 3. All epithelium is usually separated from the underlying tissue by an extracellular fibrous basement membrane. Q5:Based on layer and shape of cells, how Epithelial tissues can be classified? Answer: 1. Squamous Epithelium 2. Cuboidal Epithelium 3. Colu...
Read more