2000
A predator moves in a circle of radius √2 centre (0,0), while a prey moves along the line y = x. If 0 \(\leq\) x \(\leq\) 2, at which point(s) will they meet?
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2000 JAMB UTME Mathematics Past Questions
2000
In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon.
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2000
if P and Q are fixed points and X is a point which moves so that XP = XQ, the locus of X is
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2000
3y = 4x - 1 and Ky = x + 3 are equations of two straight lines. If the two lines are perpendicular to each other, find K.
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2000
An equilateral triangle of side √3cm is inscribed in a circle. Find the radius of the circle.
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2000
A ship sails a distance of 50km in the direction S50°E and then sails a distance of 50km in the direction ₦40°E. FInd the bearing of the ship from the original position.
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2000
P is a point on one side of the straight line UV and P moves in the same direction as UV. If the straight line ST is on the locus of P and angle VUS = 60°, find angle UST.
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2000
A frustrum of pyramid with square base has its upper and lower sections as squares of sizes 2m and 5m respectively and the distance between them 6m. Find the height of the pyramid from which the frustrum was obtained.
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2000
If α and β are the roots of the equation 3x2 + 5x - 2 = 0, find the value of 1/α + 1/β
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2000
Solve the inequality 2 - x > x2.
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2000
A trader realizes 10x - x2 naira profit from the sale of x bags on corn. How many bags will give him the desired profit?
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2000
if (x - 1), (x + 1) and (x - 2) are factors of the polynomial ax3 + bx2 + cx - 1, find a, b, c in that order.
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2000
Evaluate (1/2 - 1/4 - 1/8 - 1/16 + ...) - 1
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2000
Find the inverse of p under the binary operation * defined by p*q = p + q - pq, where p and q are real numbers and zero is the identity
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2000
The 3rd term of an A.P is 4x - 2y and the 9th term is 10x - 8y. Find the common difference.
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2000
A binary operation * is defined by a*b = ab. If a*2 = 2-a, find the possible values of a.
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2000
If P3446 - 23P26 = 2PP26, find the value of the digit P.
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2000
Simplify 3(2n+1) - 4(2n-1) 2n+1 - 2n
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2000
If 31410 - 2567 = 340x, find x.
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2000
A man wishes to keep his money in a savings deposit at 25% compound interest so that after three years he can buy a car for ₦150,000. How much does he need to deposit?
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