ELECTIVE(FURTHER) MATHEMATICS
0547316472
0547316472
1. If the sum of the first n terms of the series 4 + 7 + 10 + ... is 209, find n. .
2. Find the equation of the tangent to the curve y = X2 - 3x + 4 at the point where the tangent makes an angle of 1350 with the positive x - axis.
1. If the sum of the first n terms of the series 4 + 7 + 10 + ... is 209, find n. .
2. Find the equation of the tangent to the curve y = X2 - 3x + 4 at the point where the tangent makes an angle of 1350 with the positive x - axis.
3. equation whose roots are the squares of the roots of the equation
x2-mx+ n = O.
x2-mx+ n = O.
4. A committee of four persons is to be formed from 7 girls and 5 boys. Calculate, correct to two decimal places, the probability that the committee will consist of:
(a) 2 boys and 2 girls;
(b) at least 3 boys.
(a) 2 boys and 2 girls;
(b) at least 3 boys.
5. Vectors p, q and r are given by p =[2,-3] , q =[4,2] and r= [3,-2]
Find:
(a) 4p - 2q + 5r;
(b) The position vector which divides p and q in the ratio 2:3.
Find:
(a) 4p - 2q + 5r;
(b) The position vector which divides p and q in the ratio 2:3.
6. A body of mass 6 kg is hung from a fixed point by a light inextensible string. A horizontal force is applied to the body such that the body is in equilibrium when the string is inclined at 350 to the vertical. Find, correct to one decimal place, the:
(a) horizontal force;
(b) tension in the string.
[Take g = 10 ms-²]
(a) horizontal force;
(b) tension in the string.
[Take g = 10 ms-²]
7. Points A(2, 1) and 8(4, -5) lie on a circle. If line 2xn - y -13 = 0 is a tangent to the circle at 8, find the:
(a) coordinates of the centre of the circle;
(b) equation of the circle
(a) coordinates of the centre of the circle;
(b) equation of the circle
8. a) Find the area enclosed by the x - axis and curve y = 3x² u + 2x - 1.
(b) If 2X² - x - 3 = P(x + Q)² + R where P, Q and R are constants, find the:
(i) values of P, Q and R;
(ii) minimum value of 2X² - x - 3.
(b) If 2X² - x - 3 = P(x + Q)² + R where P, Q and R are constants, find the:
(i) values of P, Q and R;
(ii) minimum value of 2X² - x - 3.
9. Given that ∫m1X² - 2x + 1 )dx = 1/3,m > 0, determine the value of m.
(b) If (x - y)² = 3xy + 1, find the gradient at point (1, 0).
(b) If (x - y)² = 3xy + 1, find the gradient at point (1, 0).
10. (a) A box P contains 3 white and 5 green identical balls. Another box Q contains 6 white and 4 green identical balls.
A ball is drawn at random from P and dropped into Q. A ball is then drawn at random from Q. Find the probability that the ball drawn from Q is green.
(b) A fair die is thrown five times.
Find, correct to three decimal places, the probability of obtaining at least green card
A ball is drawn at random from P and dropped into Q. A ball is then drawn at random from Q. Find the probability that the ball drawn from Q is green.
(b) A fair die is thrown five times.
Find, correct to three decimal places, the probability of obtaining at least green card
Roots are the squares of the roots of the equation
x2-mx+ n = O.
4. A committee of four persons is to be formed from 7 girls and 5 boys. Calculate, correct to two decimal places, the probability that the committee will consist of:
(a) 2 boys and 2 girls;
(b) at least 3 boys.
x2-mx+ n = O.
4. A committee of four persons is to be formed from 7 girls and 5 boys. Calculate, correct to two decimal places, the probability that the committee will consist of:
(a) 2 boys and 2 girls;
(b) at least 3 boys.
5. Vectors p, q and r are given by p =[2,-3] , q =[4,2] and r= [3,-2]
Find:
(a) 4p - 2q + 5r;
(b) The position vector which divides p and q in the ratio 2:3.
Find:
(a) 4p - 2q + 5r;
(b) The position vector which divides p and q in the ratio 2:3.
6. A body of mass 6 kg is hung from a fixed point by a light inextensible string. A horizontal force is applied to the body such that the body is in equilibrium when the string is inclined at 350 to the vertical. Find, correct to one decimal place, the:
(a) horizontal force;
(b) tension in the string.
[Take g = 10 ms-²]
(a) horizontal force;
(b) tension in the string.
[Take g = 10 ms-²]
7. Points A(2, 1) and 8(4, -5) lie on a circle. If line 2xn - y -13 = 0 is a tangent to the circle at 8, find the:
(a) coordinates of the centre of the circle;
(b) equation of the circle
(a) coordinates of the centre of the circle;
(b) equation of the circle
8. a) Find the area enclosed by the x - axis and curve y = 3x² u + 2x - 1.
(b) If 2X² - x - 3 = P(x + Q)² + R where P, Q and R are constants, find the:
(i) values of P, Q and R;
(ii) minimum value of 2X² - x - 3.
(b) If 2X² - x - 3 = P(x + Q)² + R where P, Q and R are constants, find the:
(i) values of P, Q and R;
(ii) minimum value of 2X² - x - 3.
9. Given that ∫m1X² - 2x + 1 )dx = 1/3,m > 0, determine the value of m.
(b) If (x - y)² = 3xy + 1, find the gradient at point (1, 0).
(b) If (x - y)² = 3xy + 1, find the gradient at point (1, 0).
10. (a) A box P contains 3 white and 5 green identical balls. Another box Q contains 6 white and 4 green identical balls.
A ball is drawn at random from P and dropped into Q. A ball is then drawn at random from Q. Find the probability that the ball drawn from Q is green.
(b) A fair die is thrown five times.
Find, correct to three decimal places, the probability of obtaining at least two sixes.
A ball is drawn at random from P and dropped into Q. A ball is then drawn at random from Q. Find the probability that the ball drawn from Q is green.
(b) A fair die is thrown five times.
Find, correct to three decimal places, the probability of obtaining at least two sixes.
For WASSCE BECE NOVDEC LINKS Whatsapp Us 0547316472
Those who want to be agents or dealers can also chat us 0547316472
Those who want to be agents or dealers can also chat us 0547316472
Wish this is dropping
ReplyDelete