List of top Mathematics Questions on Geometry asked in UP Board X

Draw a circle of radius 3.0 cm. From a point 7.0 cm away from its centre, construct the pair of tangents to the circle. Write the steps of the construction in brief.
In the given figure, if $AD=(x+3)$ cm, $DB=(3x+19)$ cm, $AE=x$ cm, $EC=(3x+4)$ cm and $DE \parallel BC$, then the value of $x$ is:
From a boat which is coming towards a bridge, at any instant the angle of elevation of the bridge is 30°. After travelling 4 minutes with the same velocity, the angle of elevation of the bridge becomes 60°. How much more time will be taken by the boat to reach the bridge?
Draw a line segment of length 7.6 cm and divide it in the ratio 5 : 8. Measure the two parts.
The ratio between the diameters of two circles is \( 4 : 9 \). The ratio between their circumferences will be: