If two regression coefficients are found to be - 0.6 and -1.4, the correlation coefficient will be
0.92
0.43
- 0.43
- 0.92
The iteration formula xn + 1 = xn - is commonly known as
Bisection method
Newton-Raphson method
False-positions method
None of the above
Which of the following is a peripheral device?
visual display unit
Hard disk drive
Floppy disk drive
All of the above
Which of the following is not a general purpose application software ?
Word processors
Programs for playing games
Spread-sheets
Data communication software
The equation of the normal to the hyperbola x2 - 16y2 - 2x - 64y - 72 = 0 at the point (- 4, - 3) is
5x + 16y + 79 = 0
16x + 5y + 97 = 0
16x + 5y + 79 = 0
5x + 16y + 97 = 0
C.
16x + 5y + 79 = 0
First, we find the equation of tangent to the hyperbola
x2 - 16y2 - 2x - 64y - 72 = 0 ...(i)
at the point (-4,- 3), which is given by
4x + 48y - (x - 4) - 32 (y - 3) - 72 = 0
- 4x + 48y - x + 4 - 32y + 96 - 72 = 0
- 5x + 16y + 28 = 0 ...(ii)
Required normal is the normal to the tangent (ii), which is given by
16x + 5y + c = 0 ...(iii)
But it passes through (- 4, - 3).
Putting this value in Eq. (iii), we get
5x + 16y + 79 = 0
Which is the required normal.
Which of the following methods is surely convergent?
Regula-Falsi method
Balzano method
Both (a) and (b)
Neither (a) nor (b)