Class 10 Case based problem of Chapter 2 Polynomials 1

Class 10 Chapter 2(Poloynomials)

Case based 1: SLV-3 was successfully launched on july 18, 1980 from Shriharikota Range (SHAR), when Rohini satellite, RS-1, was placed in orbit, thereby making India the sixth member of an exclusive club of space-faring nations. SLV-3 employed an open loop guidance (with stored pitch programme) to steer the vehicle in flight along a pre-determined trajectory. The successful culmination of the SLV-3 project showed the way to advanced launch vehicle projects such as augmented Satellite Launch Vehicle (ASLV), Polar Satellite Launch Vehicle (PSLV) and Geosynchronous Satellite Launch Vehicle(GSLV).

Class 10 Case based problem of Chapter 2 Polynomials 1

Class 10 Case based problem of Chapter 2 Polynomials 1

A toy rocket is fired into the air from the top of a tall building Let its height above the ground after time t second be given by the P(t) = 24 t²-41 t + 12 

(A) What will be the shape of the graph representing the height of the rocket above the ground ?

(B) Find the zeros of the graph represented by P(t) = 24 t²-41 t + 12 

Solution:

(A) As the height of the rocket above the ground is given by a quadratic polynomial. P(t) = 24 t²-41 t + 12 . 

Its graph will be a Parabola.

(B) To find the zeroes of the given polynomial by splitting the middle term.

P(t) = 24 t² – 41 t+12

  = 24 t² -32 t – 9 t +12

  = 8 t(3 t-4) – 3(3 t – 4)

  = (3 t -4)(8 t – 3)

Therefore, zeroes are t = 3/8, 4/3.

Some other question

Question 1:Prove that 2-√3 is irrational, given that root 3 is irrational

Question 2:Prove that √5 is an irrational number

Question 3: Prove that  √p + √q is irrational

Question 4:Prove that root 2 + root 5 is irrational

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