WBBSE Solutions For Class 10 Maths Chapter 1 Quadratic Equations In One Variable Exercise 1.1

Maths WBBSE Class 10 Solutions Chapter 1 Quadratic Equations In One Variable Exercise 1.1

Question 1: write the quadratic polynomials from the following polynomials by understating them.

1. x² – 7x+2
   Solution:  It is a quadratic equation.
2. 7x³– x(x+2)
   = 7x³– x2 – 2x
   Solution: It is not a quadratic equation.
3. 2x(x+5)+1
   =2x²+10x + 1
   Solution: It is a quadratic equation.
4. 2x – 1
   Solution: It is not a quadratic equation.

WBBSE Euadratic Equation Class 10 Solutions

Question 2: Which of the following equations can be written in the form of ax²+ bx + c = 0, where a, b, c are real numbers and a 0?

Read and Learn More WBBSE Solutions For Class 10 Maths

 

1. x +3/x = x², (x ≠ 0)

 

2. x²-6√x+2=0

Maths WBBSE Class 10 Solutions

Solution: This is not a quadratic equation.

3. (x-2)²= x²-4x+4

Solution: This is not a quadratic equation; it is an identity.

Maths 10 Class Exercise 1.1 Question 3:

Let us determine the power of the variable for which the equation x – x3- 2 = 0 will become a quadratic equation.

Solution: x⁶-x³-2=0

=>(x³)²-1.x³-2=0

This is a quadratic equation with respect to x3.

WBBSE Maths 10 Class Exercise 1.1  Question 4:

1. Let us determine the value of ‘a’ for which the equation (a-2)x²+ 3x + 5 = 0 will not be a quadratic equation.

Solution: (a-2)x²+3x+5=0.

If the value of a = 2, it will be 0x2 + 3x + 5 = 0

=> 3x + 5 = 0

So, if the value of a = 2, it will not be a quadratic equation. X

Maths WBBSE Class 10 Solutions

2. If x/4-x=1/3x(x =not 0, x =not 4) be expressed in the form of ax² + bx + c = (a =not 0), then4-x 3x let us determine the co-efficient of x.

 

 

 

 

 

WBBSE Euadratic Equation Class 10 Solutions

1. Let us express 3x² + 7x + 23 = (x + 4) (x+3)+ 2 in the form of the quadratic equation ax² + bx + c = 0 (a ≠ 0)

 

2. Let us express the equation (x+2)³= x(x²-1) in the form of ax² + bx + c = 0 (a = not0) and write the coefficients of x², x, and x°.

WBBSE Euadratic Equation Class 10 Solutions

Wbbse Maths 10 Class Exercise 1.1 Question 5:

Let us construct quadratic equations in one variable from the following statements.

1. Divide 42 into two parts such that one part is equal to the square of the other part.

 

WBBSE Euadratic Equation Class 10 Solutions

2. The product of two consecutive positive odd numbers is 143.

3. The sum of the squares of two consecutive numbers is 313.

 

WBBSE Maths 10 Class Exercise 1.1 Question 6:

Let us construct the quadratic equations in one variable from the following statements.

1. The length of the diagonal of a rectangular area is 15 m and the length exceeds its breadth by 3 m

Solution: Let the breath and length of the rectangle be x m. and (x+3) m respectively.

WBBSE Class 10 Maths Chapter 1 Exercise 1.1

2. One person bought some kg sugar in Rs. 80. If he would get 4 kg more sugar with that money, then the price of 1 kg sugar would be less by Rs. 1.

Solution: Let the price of x kg. sugar is Rs.80

 

3. The distance between two stations is 300 km. A train went to second station from first station with uniform velocity. If the velocity of the train is 5 km/hour more, then the time taken by the train to reach the second station would be lesser by 2 hours.

WBBSE Class 10 Maths Chapter 1 Exercise 1.1

4. A clock seller sold a clock by purchasing it at Rs. 336. The amount of his profit percentage is as much as the amount with which he bought the clock.

 

 

5. If the velocity of the stream is 2 km/hr, then the time taken by Ratanmajhi to cover 21 km downstream and upstream is 10 hours.

 

6. The time taken to clean out the garden of Majid is 3 hours more than Mahim. Both of them together can complete the work in 2 hours.

7. The unit digit of a two-digit number exceeds its ten’s digit by 6 and the product of two digits is less by 12 from the number.

WBBSE Maths Class 10 Question 8. There is a road of equal width around the outside of a rectangular playground having a length of 45 m and breadth of 40 m and the area of the road is 450 sq.m.

Application 1. Let me write by calculating, for what value of k, 1 will be a root of the quadratic equation x² + kx+3=0.

Application 2. I solve and write the two roots of the quadratic equation \(\frac{a}{a x-1}+\frac{b}{b x-1}=a+b,\left[x \neq \frac{1}{a}, \frac{1}{b}\right]\)

Wbbse Class 10 Maths Chapter 1

Application 3. I solve the quadratic equation  x+3/x-3 + x-3/x+3 = 2 1/2 (x ≠ -3, 3 ) .