SSC (English Medium) 10th Standard - Maharashtra State Board Question Bank Solutions for Algebra

Form the quadratic equation if its roots are –3 and 4.

If a = 1, b = 8 and c = 15, then find the value of  `"b"^2 - 4"ac"`

From the quadratic equation if the roots are 6 and 7.

Choose the correct alternative answer for the following sub questions and write the correct alphabet.

If the root of the given quadratic equation are real and equal, then find the value of ‘k’ X² + 2X + k = 0

Choose the correct alternative answer for the following sub questions and write the correct alphabet.

What is the value of discriminant for the quadratic equation X² – 2X – 3 = 0?

If a = 1, b = 4, c = – 5, then find the value of b² – 4ac

If b² – 4ac > 0 and b² – 4ac < 0, then write the nature of roots of the quadratic equation for each given case

Complete the following activity to find the value of discriminant for quadratic equation 4x² – 5x + 3 = 0.

Activity: 4x² – 5x + 3 = 0

a = 4 , b = ______ , c = 3

b² – 4ac = (– 5)² – (______) × 4 × 3

= ( ______ ) – 48

b² – 4ac = ______

If roots of a quadratic equation 3y² + ky + 12 = 0 are real and equal, then find the value of ‘k’

If the roots of the given quadratic equation are real and equal, then find the value of ‘m’.

(m – 12)x² + 2(m – 12)x + 2 = 0

Compare the quadratic equation `x^2 + 9sqrt(3)x + 24 = 0` to ax² + bx + c = 0 and find the value of discriminant and hence write the nature of the roots.

Complete the following activity to determine the nature of the roots of the quadratic equation x² + 2x – 9 = 0 :

Solution :

Compare x² + 2x – 9 = 0 with ax² + bx + c = 0

a = 1, b = 2, c = `square`

∴ b² – 4ac = (2)² – 4 × `square` × `square`

Δ = 4 + `square` = 40

∴ b² – 4ac > 0

∴ The roots of the equation are real and unequal.

The marks scored by students in Mathematics in a certain Examination are given below:

Draw histogram for the above data.

Draw the frequency polygon for the following frequency distribution

Given below is the frequency distribution of driving speeds (in km/hour) of the vehicles of 400 college students:

Draw Histogram and hence the frequency polygon for the above data.

Represent the following data by Histogram:

The following is the frequency distribution of waiting time at ATM centre; draw histogram to represent the data:

Draw histogram and frequency polygon on the same graph paper for the following frequency distribution

Draw a histogram of the following data.

The table below shows the yield of jowar per acre. Show the data by histogram.