Question
If 5 sin² θ + 4 cos² θ = 9/2, then from this relation find the value of tan θ.
If 5 sin² θ + 4 cos² θ = , then from this relation find the value of tan θ.
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The difference of acute angles of a right angled triangle is 72°. Determine these acute angles in circular measure.
The difference of acute angles of a right angled triangle is 72°. Determine these acute angles in circular measure
Question
Draw a right angled triangle whose two adjacent sides of the right angle are 4 cm and 5 cm. Construct the circumcircle of this triangle.
Draw a right angled triangle whose two adjacent sides of the right angle are 4 cm and 5 cm. Construct the circumcircle…
Question
Draw a circle of radius 4 cm. Draw a tangent on this circle from an external point at a distance 9 cm from the centre of the circle.
Draw a circle of radius 4 cm. Draw a tangent on this circle from an external point at a distance 9 cm…
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In a triangle PQR, ∠P = 90° and PS is perpendicular to QR. Prove that 1/PS² – 1/PQ² = 1/PR²
In a triangle PQR, ∠P = 90° and PS is perpendicular to QR. Then prove that
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ABCD is a circumscribed quadrilateral of a circle with centre O. Show that AB + CD = AD + BC.
ABCD is a circumscribed quadrilateral of a circle with centre O. Show that AB + CD = AD + BC
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If two tangents are drawn to a circle from a point outside it, then prove that the line segments joining the point of contact and the exterior point are equal and they subtend equal angles at the centre.
If two tangents are drawn to a circle from a point outside it, then prove that the line segments joining the point…
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Prove that in any circle, angles in the same segment are equal.
Prove that in any circle, angles in the same segment are equal.
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If a, b, c are in continued proportion, then prove that, 1/b=1/(b-a) +1/(b-c)
If a, b, c are in continued proportion, then prove that
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If x/(y+z) = y/(z+x) = z/(x+y), then show that each ratio is 1/2 or -1.
If = = , then show that each ratio is or -1.