Q) Evaluate: (2š šš 2 600 ā š”šš 2 300) / š šš2 450 Ans: We know that: sin 600 = ; tan 300 = ; sec 450 = By submitting these values in the given expression, we get: = = = = = Please do press āHeartā button if you liked the solution.Ā
Evaluate: (2š šš 2 60 ā š”šš 2 30) / š šš2 45 Read More Ā»
Q) Find the point(s) on the x-axis which is at a distance of ā41 units from the point (8, -5). Ans: Let the point be A and coordinates of this point be (x, y) Since any point on X-axis will have y = 0, Hence, the coordinates of the point A will be (X, 0)
Q) Show that the points A(-5,6), B(3, 0) and C( 9, 8) are the vertices of an isosceles triangle. Ans: For a triangle to be an isosceles triangle, its any 2 sides should be equal. Let’s start by calculating length of its sides: We know that the distance between two points P (X1, Y1) and
Q) In š„ABC, D, E and F are midpoints of BC,CA and AB respectively. Prove that ā³ š¹šµš· ā¼ ā³ DEF and ā³ DEF ā¼ ā³ ABC Ans: (i): Prove that ā³ š¹šµš· ā¼ ā³ DEF: Let’s start from comparing triangles ā³ FBD and ā³ DEF. Since by midpoint theorem, The line segment in a
Q)Ā In š„ABC, P and Q are points on AB and AC respectively such that PQ is parallel to BC. Prove that the median AD drawn from A on BC bisects PQ. Ans: Step 1: Let’s start from comparing triangles ā³ APR and ā³ ABD. Here we have: ā APRĀ = ā ABDĀ Ā Ā (corresponding
Q)Ā If š¼ and Ī² are zeroes of a polynomial 6 x2 – 5 x + 1, then form a quadratic polynomial whose zeroes are š¼2 and š½2 . Ans:Ā Step 1: Given polynomial equation 6 x2 – 5 x + 1 = 0 Comparing with standard polynomial, ax2 + b x + c =
Q) The sum of two numbers is 18 and the sum of their reciprocals is 9/40. Find the numbers. Ans: Let the numbers be X and Y Step 1: By first condition: X + Y = 18 ………… (i) Step 2: By second condition: ā“ ā“ 40 (Y + X) = 9 X Y e
Q) If cosĪø + sin Īø = 1 , then prove that cosĪø – sinĪø = Ā±1 Ans: VIDEO SOLUTION STEL BY STEP SOLUTION Given that If cosĪø + sinĪø = 1 Step 1: We square the above equation on both sides, we get: (cosĀ Īø + sin Īø) = (1) ā“ cos2 Īø + sin2
If cosĪø + sinĪø = 1 , then prove that cosĪø – sinĪø = Ā±1 Read More Ā»
Q) The minute hand of a wall clock is 18 cm long. Find the area of the face of the clock described by the minute hand in 35 minutes.Ā Ans:Ā āµ Angle subtended by minute hand in full one hour or 60 mins = 3600 ā“ Angle subtended by minute hand in 35 mins =
Q) Prove that the lengths of tangents drawn from an external point to a circle are equal. Using above result, find the length BC of Ī ABC. Given that, a circle is inscribed in Ī ABC touching the sides AB, BC and CA at R, P and Q respectively and AB= 10 cm, AQ= 7cm
Prove that the lengths of tangents drawn from an external point to a circle are equal. Read More Ā»