English Medium कक्षा १० - CBSE Question Bank Solutions

The line joining the points (2, 1) and (5, −8) is trisected at the points P and Q. If point P lies on the line 2x − y + k = 0. Find the value of k.

In what ratio does the point (−4, 6) divide the line segment joining the points A(−6, 10) and B(3,−8)?

Solve the following quadratic equations by factorization: 

`(2x – 3)^2 = 49` 

`x^2-6x+3=0` 

`x^2-4x+1=0`

`x^2+8x-2=0`

`4x^2+4sqrt3x+3=0` 

`2x^2+5x-3=0`

`3x^2-x-2=0` 

`8x^2-14x-15=0`

`7x^2+3x-4=0` 

The sum of a natural number and its square is 156. Find the number. 

The sum of natural number and its positive square root is 132. Find the number. 

The sum of two natural number is 28 and their product is 192. Find the numbers. 

The sum of the squares of two consecutive positive integers is 365. Find the integers. 

The sum of the squares to two consecutive positive odd numbers is 514. Find the numbers. 

The sum of the squares of two consecutive positive even numbers is 452. Find the numbers. 

Two natural number differ by 3 and their product is 504. Find the numbers. 

Find two consecutive multiples of 3 whose product is 648.

Find the tow consecutive positive odd integer whose product s 483.