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Further Mathematics Past Questions


Question 756:


If 2i +pj and 4i -2j are perpendicular, find the value of p.

A. 2
B. 3
C. 4
D. 5


Question 757:


Consider the following statements:
X: Benita is polite
y: Benita is neat
z: Benita is intelligent
Which of the following symbolizes the statement: "Benita is neat if and only if she is neither polite nor intelligent"?

A. Y⟺ ~x v z
B. Y⟺ ~x v ~z
C. Y⟺ ~x ^ ~z
D. Y⟺ ~x ^ z


Question 758:


A bag contains 8 red, 4 blue and 2 green identical balls. Two balls are drawn randomly from the bag without replacement. Find the probability that the balls drawn are red and blue.
A. 12/91 B. C. D.

A. 12/91
B. 16/91
C. 30/91
D. 32/91


Question 759:


The gradient ofy= 3x\(^2\) + 11x + 7 at P(x.y) is -1. Find the coordinates of P.

A. (-3, -2)
B. (-2,-3)
C. (-2,3)


Question 760:


Find the equation of the normal to the curve y= 2x\(^2\) - 5x + 10 at P(1, 7).

A. Y+x-3 =0
B. Y-x+6=0
C. Y - x - 6=0
D. Y -x+ 3 =0






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