A garden has a triangular sunshade suspended from three points A(2 , 0 , 2), B(8 , 0 , 2)and C(5 , 4 , 3), relative to an origin in the corner of the garden. All distances are measuredin metres.(a) (i) Find ⟶CA

Class X students of a secondary school in Kerala have been allotted arectangular plot of a land for gardening activity. Saplings of coconut areplanted on the boundary at a distance of 1m from each other. There is atriangular grassy lawn in the plot as shown in the fig. The students are to sowseeds of flowering plants on the remaining area of the plot.Considering A as origin, answer question 1 to41. Find the distance PR*1 pointa) √5b) √2c)5d)22. Find the distance QR*1 pointa) √5b) 3√2c)2d)63. Find midpoint of QR*1 pointa)(4.5,3.5)b)(9,6)c)(2 ,3)d)(5,6)4. Find a point on PQ which divides it in the ratio 1:3*1 pointa)(4,3)b)(9,6)c)(13/4 ,3)d) ( 15/4,5)

A flower of height 4 cm is placed 40 cm from the pole of a concave mirror used in a botanical garden. The mirror has a focal length of 30 cm. Determine the distance and height of the image formed.120 cm and 10 cm respectively150 cm and 15 cm respectively150 cm and 12 cm respectively120 cm and 12 cm respectively

If C(3, 8) is the third vertex of triangle ABC then what is the altitudefrom C to AB?Answer any four questions. Each carries 3 scores5) The vertices of a triangle are on a circle.∠A = 60◦, BC = 10cma) Draw the diameter BP and join P C.What are the angles of triangleBP Cb) What is the radius of the circle?6) In the figure P A and P B are the tangents from P to the circle.∠AP B = 40◦a) What is the measure of ∠AOB?b) Find ∠ACB and ∠ADB?7) a) Draw co-ordinate axes and mark the points A(4, 0), B(0, 4), C(−4, 0)and D(0, −4).b) Suggest a suitable name to ABCD.c) Find the area of ABCD.

2. A triangular plot of land is enclosed by a fence. Two sides of the fence are9.8 m and 6.6 m long, respectively. The other side forms an angle of withthe 9.8 m side.a) Draw a sketch of the situation.b) Calculate the height of the triangle to the nearest tenth. Compare it tothe given side third side? Explain.

A triangle is placed in a semicircle with a radius of 8mm, as shown below. Find the area of the shaded region.Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.8mm