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### DANOLMATHS MATHEMATICAL DOMAIN

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13 Jan 2020

UTME (JAMB) MATHEMATICS 2012: QUESTION 31

The locus of a point equidistant from the intersection of lines $3x-7y+7=0$ and $4x-6y+1=0$ is a

SOLUTION

A. line parallel to $7x+13y+8=0$

B. Circle

C. semicircle

D. bisector of the line $7x+13y+8=0$

UTME (JAMB) MATHEMATICS 2012: QUESTION 32

The gradient of the straight line joining the points $P\left ( 5,7 \right )$ and $Q\left ( -2,-3 \right )$ is

SOLUTION

A. $\frac{1}{2}$

B. $\frac{2}{5}$

C. $-\frac{4}{7}$

D. $-\frac{2}{3}$

UTME (JAMB) MATHEMATICS 2012: QUESTION 33

The distance between the point $(4,3)$ and the intersection of $y=2x+4$ and $y=7-x$ is

SOLUTION

A. $\sqrt{13}$

B. $3\sqrt{2}$

C. $\sqrt{26}$

D. $10\sqrt{5}$

UTME (JAMB) MATHEMATICS 2012: QUESTION 34

Find the equation of the line through the points $(2,1)$ and $\left ( -\frac{1}{2},4 \right )$

SOLUTION

A. $y=2x-3$

B. $y=2x+5$

C. $y=3x-2$

D. $y=2x+1$

UTME (JAMB) MATHEMATICS 2012: QUESTION 35

If angle $0$ is $150^{0}$, evaluate $cos 0$

SOLUTION

A. $\frac{1}{2}$

B. $\frac{\sqrt{2}}{2}$

C. $-\frac{\sqrt{2}}{2}$

D. $-\frac{1}{2}$

UTME (JAMB) MATHEMATICS 2012: QUESTION 36

A man stands on a tree $150cm$ high and sees a boat at an angle of depression of $74^{0}$. Find the distance of the boat from the base of the tree.

SOLUTION

A. $52cm$

B. $43cm$

C. $40cm$

D. $15cm$

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