Recent questions tagged triangles-circles-and-constructions

Two triangles ABC and DEF are similar to each other in which AB = 10 cm and DE=8 cm.The ratio of the areas of $\Delta ABC$ and $\Delta DEF$ is _____

asked Jan 5, 2015 by sreemathi.v

1 answer

If E is a point on side CA of an equilateral $\Delta ABC$ such that $ BE \perp AC$, then $ AB^2 + BC^2 + CA^2 = K BE^2 $. Then the value of K is

asked Jan 5, 2015 by sreemathi.v

1 answer

ABCD is a rectangle in which BC=2AB.A point E lies on ray CD such that CE = 2BC.Then BE _____ AC.

asked Jan 5, 2015 by sreemathi.v

1 answer

ABCD is a parallelogram.AB is divided at P and CD at Q so that AP : PB = 3 : 2 and CQ : QD= 4 : 1.If PQ meets AC at R,then AR =____ AC.

asked Jan 5, 2015 by sreemathi.v

1 answer

In a $\Delta ABC$,AD is a median .X is a point on AD such that AX : XD = 2 : 3.Ray BX intersects AC in Y.Then BX=______ XY.

asked Jan 5, 2015 by sreemathi.v

1 answer

A point D is on the side BC of an equilateral triangle ABC such that $DC=\large\frac{1}{4}$$BC$.Then $AD^2$=____$CD^2$

asked Jan 5, 2015 by sreemathi.v

1 answer

ABC is a right angled triangle at A.BL and CM are its two medians,then $4(BL^2+CM^2)=$_______

asked Jan 5, 2015 by sreemathi.v

1 answer

If one diagonal of a trapezium divides the other diagonal in the ratio 1 : 2,then one of the parallel sides is ______ the other.

asked Jan 3, 2015 by sreemathi.v

1 answer

The perpendicular AD on the base BC of a $\Delta ABC$ intersects BC at D such that DB=3CD.Then $2(AB^2-AC^2)=$______

asked Jan 3, 2015 by sreemathi.v

1 answer

In $\Delta ABC$.the bisector of $\angle A$ intersects BC in D.If AB=18 cm,AC=15 cm and BC=22 cm then BD=_____

asked Jan 3, 2015 by sreemathi.v

1 answer

In $\Delta ABC$,P and Q are points on sides AB and AC respectively such that $PQ\parallel BC$.If AP=4 cm,PB=6 cm and PQ=3 cm,then BC is ____

asked Jan 3, 2015 by sreemathi.v

1 answer

$\Delta ABC$ and $\Delta DBC$ are on the same base BC.Then $\large\frac{ar\;\Delta ABC}{ar\;\Delta DBC}$=______

asked Jan 3, 2015 by sreemathi.v

1 answer

In a $\Delta ABC,\angle BCA=90^{\large\circ}$ and Q is the midpoint of BC.Then $AB^2+3AC^2=$______

asked Jan 3, 2015 by sreemathi.v

1 answer

ABCD is a rectangle in which BC=2AB.A point E lies on ray CD such that CE=2BC.Then BE is _____ AC.

asked Jan 3, 2015 by sreemathi.v

1 answer

In $\Delta PQR$,M and N are points on sides PQ and PR respectively such that PM=15 cm and NR=8 cm .If PQ=25 cm and PQ=20 cm ,then MN is ______ QR.

asked Jan 3, 2015 by sreemathi.v

1 answer

The corresponding sides of two similar triangles are in the ratio 1 : 3.If the area of the smaller triangle is $40\;cm^2$,then the area of the larger triangle is ________

asked Jan 3, 2015 by sreemathi.v

1 answer

The value of $x$ in the adjacent figure if $DE\parallel AB$ is ______

asked Jan 3, 2015 by sreemathi.v

1 answer

An aeroplane leaves an airport and flies due north at a speed of $1000$ km/hr.At the same time,another aeroplane leaves the same airport and flies due west at a speed of $1200$ km/hr.How far apart will be the two planes after $1\large\frac{1}{2}$ hours?

asked Jan 3, 2015 by sreemathi.v

1 answer