# CBSE Class 10-Mathematics: Chapter – 4 Quadratic Equations Part 3 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 6**:

A lotus is above water in a pond. Due to wind the lotus slides on side and only the stem completely submerges in the water at a distance of from the original position. Find the depth of water in the pond.

**Answer**:

Depth of the pond

**Question 7**:

Solve

**Answer**:

**Question 8**:

The hypotenuse of a right triangle is . If the difference between the length of the other sides is . Find the sides

**Answer**:

APQ

Also

sides are

**Question 9**:

The positive value of for which will have real roots.

**Answer**:

From (1) & (2)

**Question 10**:

A teacher on attempting to arrange the students for mass drill in the form of a solid square found that students were left over. When he increased the size of the square by one student, he found he was short of students. Find the number of students.

**Answer**:

Let the side of the square be

No. of students

New side

No. of students

APQ

No. of students