SSLC (English Medium) Class 10 - Tamil Nadu Board of Secondary Education Question Bank Solutions

Reduce the given Rational expression to its lowest form

`(x^(3"a") - 8)/(x^(2"a") + 2x^"a" + 4)`

Reduce the given Rational expression to its lowest form

`(10x^3 - 25x^2 + 4x - 10)/(-4 - 10x^2)`

Simplify `(1/("p") + 1/("q" + "r"))/(1/"p" - 1/("q" + "r")) xx [1 + ("q"^2 + "r"^2 - "p"^2)/(2"qr")]`

Arul, Madan and Ram working together can clean a store in 6 hours. Working alone, Madan takes twice as long to clean the store as Arul does. Ram needs three times as long as Arul does. How long would it take each if they are working alone?

A boat takes 1.6 hours longer to go 36 kms up a river than down the river. If the speed of the water current is 4 km per hr, what is the speed of the boat in still water?

Is it possible to design a rectangular park of perimeter 320 m and area 4800 m²? If so find its length and breadth.

At t minutes past 2 pm, the time needed to 3 pm is 3 minutes less than `("t"^2)/4`. Find t.

The number of seats in a row is equal to the total number of rows in a hall. The total number of seats in the hall will increase by 375 if the number of rows is doubled and the number of seats in each row is reduced by 5. Find the number of rows in the hall at the beginning.

Two farmers Thilagan and Kausigan cultivates three varieties of grains namely rice, wheat and ragi. If the sale (in ₹) of three varieties of grains by both the farmers in the month of April is given by the matrix.

          `{:("April sale in"  ₹)/("rice"   "wheat"   "ragi"):}`

A = `[(500, 1000, 1500),(2500, 1500, 500)]"Thilagan"/"Kausigan"`

and the May month sale (in ₹) is exactly twice as that of the April month sale for each variety.

What is the average sales for the months of April and May

Two farmers Thilagan and Kausigan cultivates three varieties of grains namely rice, wheat and ragi. If the sale (in ₹) of three varieties of grains by both the farmers in the month of April is given by the matrix.

          `{:"April sale in"  ₹)/("rice"   "wheat"   "ragi":}`

A = `[(500, 1000, 1500),(2500, 1500, 500)]"Thilagan"/"Kausigan"`

and the May month sale (in ₹) is exactly twice as that of the April month sale for each variety.

If the sales continue to increase in the same way in the successive months, what will be sales in the month of August?

A man goes 18 m due east and then 24 m due north. Find the distance of his current position from the starting point?

There are two paths that one can choose to go from Sarah’s house to James's house. One way is to take C street, and the other way requires to take B street and then A street. How much shorter is the direct path along C street?

To get from point A to point B you must avoid walking through a pond. You must walk 34 m south and 41 m east. To the nearest meter, how many meters would be saved if it were possible to make a way through the pond?

The perpendicular PS on the base QR of a ∆PQR intersects QR at S, such that QS = 3 SR. Prove that 2PQ² = 2PR² + QR² 

Two trains leave a railway station at the same time. The first train travels due west and the second train due north. The first train travels at a speed of `(20 "km")/"hr"` and the second train travels at `(30 "km")/"hr"`. After 2 hours, what is the distance between them?

What is the slope of a line whose inclination with positive direction of x-axis is 90°

What is the slope of a line whose inclination with positive direction of x-axis is 0°

What is the inclination of a line whose slope is 0

What is the inclination of a line whose slope is 1

Find the slope of a line joining the points

`(5, sqrt(5))` with the origin