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Two circles with centres A and B of radii 5 cm and 3 cm respectively touch each

Two circles with centres A and B of radii 5 cm and 3 cm respectively touch each other internally. If the perpendicular bisector of…

In ΔABC, D is a point on side BC such that ∠ADC = ∠BAC. If CA = 12 cm, CD =

In ΔABC, D is a point on side BC such that ∠ADC = ∠BAC. If CA = 12 cm, CD = 8 cm, then…

In ΔPQR, ∠Q = 84° and ∠R = 48°, PS ⊥ QR at S and the bisector of ∠P m

In ΔPQR, ∠Q = 84° and ∠R = 48°, PS ⊥ QR at S and the bisector of ∠P meets QR at T. What…

In the given figure MNOP is a parallelogram. PM is extended to Z. OZ intersects

In the given figure MNOP is a parallelogram. PM is extended to Z. OZ intersects MN and PN at Y and X respectively. If…

In ΔPQR, ∠P = 90°. S and T are the mid points of sides PR and PQ, respective

In ΔPQR, ∠P = 90°. S and T are the mid points of sides PR and PQ, respectively. What is the value of $$frac{{{text{R}}{{text{Q}}^2}}}{{{text{Q}}{{text{S}}^2}…

A, B, C are three points so that AB = 4 cm, BC = 6 cm and AC = 10 cm. The number

A, B, C are three points so that AB = 4 cm, BC = 6 cm and AC = 10 cm. The number of…

In a triangle ABC, AB = AC and the perimeter of ΔABC is 8(2 + √2) cm. If the

In a triangle ABC, AB = AC and the perimeter of ΔABC is 8(2 + √2) cm. If the length of BC is √2…

Let two chords AB and AC of the larger circle touch the smaller circle having sa

Let two chords AB and AC of the larger circle touch the smaller circle having same centre at X and Y. Then XY =…

PA and PB are tangents to the circle and O is the centre of the circle. The radi

PA and PB are tangents to the circle and O is the centre of the circle. The radius is 5 cm and PO is…

In a circle with centre O, a diameter AB is produced to a point P lying outside

In a circle with centre O, a diameter AB is produced to a point P lying outside the circle and PT is a tangent…

ln ΔABC, BD ⊥ AC at D. $$x$$ is a point on BC such that ∠BEA = $$x$$°. If

ln ΔABC, BD ⊥ AC at D. $$x$$ is a point on BC such that ∠BEA = $$x$$°. If ΔEAC = 62° and ΔEBD…

ABC is an equilateral triangle with side 12 cm and AD is the median. Find the le

ABC is an equilateral triangle with side 12 cm and AD is the median. Find the length of GD is G is the centroid…

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