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ICSE Class 10 Geometry MCQ HERE

1. The mid-point of the line segment joining the points A(-2, 8)

B(-6, -4)

(-4, -6)(2, 6)

(-4, 2)

(4, 2)

Find the ratio in which the line segment joining the points P(3, −3) and Q(−2, 7) is divided by the x-axis. Also, find the coordinates of the point of divisionA.  

Ratio is 4: 1 and th e co -0rdinates are (1212, 3)
B.  

None of  these.
C.  

Ratio is 1: 2 and th e co -0rdinates are (1212, 3)
D.  

Ratio is 3: 7 and th e co -0rdinates are (3232, 0

Find the equation of line passing through points A(2, -5) and gradient is −125−125.A.  

12x +5y +1 = 0
B.  

12x + 1 = 0
C.  

12x +5 = 0
D.  

y +5 = 0

Find the equation of a line parallel to x-axis and passing through points (-1, 4)A.  

y - 4 = 0
B.  

y +4 = 0
C.  

y = -4
D.  

None of these.

Find the equation of a line parallel to y-axis and passing through point (-5,7).A.  

x + 5= 0
B.  

x = -9
C.  

x =0
D.  

y+6 = 0

The graph of the equation y = mx + c passes through the points (2, -3) and (5, – 1). Determine the values of m and c.A.  

m = 2323

c = −403−403
B.  

m = 3232

c = −103−103
C.  

m = 5353

c = −29−29
D.  

m = −23−23

c = 5

If P(x,y) divides the point A (0,0) & B(aCosα, aSinα) in ratio 1: 3 then x^{2} + y^{2} is equal toA.  

a^{2}
B.  

\frac{a^{2}}{4}
C.  

\frac{a^{2}}{16}
D.  

9\frac{a^{2}}{16}

Find the equation of the line passing through (2, 2√3) and inclined with x – axis at an angle of 75o.A.  

2x−y+14=02x−y+14=0
B.  

(2+√3)x−y−4=0(2+3)x−y−4=0
C.  

√3x−2y−24=03x−2y−24=0
D.  

(2−2√3)x−7y−9=0

10. Let A (a,b) and B (c,d) where c>a>0 and d>b>0. Then point C on x axis is mid point of AB ifA.  

bc – ad = 0
B.  

ac – bd = 0
C.  

ad + bc = 0
D.  

None of these

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