OCR GCE A LEVEL MATHEMATICS A PAPER 2 QUESTION PAPER 2023 (H240/02: Pure Mathematics and Statistics)
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OCR GCE A LEVEL MATHEMATICS A PAPER 2 QUESTION PAPER 2023 (H240/02: Pure Mathematics and Statistics). DOWNLOAD OFFICIAL AND VERIFIED OCR GCE A LEVEL MATHEMATICS...
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OCR GCE A LEVEL MATHEMATICS A PAPER 2 QUESTION PAPER 2023 (H240/02: Pure Mathematics and Statistics). DOWNLOAD OFFICIAL AND VERIFIED OCR GCE A LEVEL MATHEMATICS A PAPER 2 QUESTION PAPER 2023 ON www.leakedexams.com.


1 (a) (i) Express x x8 11 2 - in the form ( ) x a b 2 - where a and b are constants. [2]
 (ii) Hence write down the minimum value of x x8 11 2 - . [1]
(b) Determine the value of the constant k for which the equation x x8 11 k 2 - = has two equal
roots. [2]
2 The points O and A have position vectors
0
0
0
J
L
K
K
K
N
P
O
O
O
 and 0
6
8
J
L
K
K
K
N
P
O
O
O
 respectively. The point P is such that
OP = kOA, where k is a non-zero constant.
(a) Find, in terms of k, the length of OP. [1]
Point B has position vector
1
2
3
J
L
K
K
K
N
P
O
O
O
 and angle OPB is a right angle.
(b) Determine the value of k. [4]