Geometry test 3chap
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1. The document is a geometry test containing 5 questions testing topics in trigonometry, construction, and coordinate geometry. 2. The test has 50 total marks and is 2 hours and 10 minutes long. 3. Questions 1-4 contain multiple parts testing formulas, constructions, coordinate geometry concepts, and problem solving. Question 5 contains multi-part word problems involving geometric shapes and their properties.
Geometry test 3chap
- 1. GEOMETRY TEST Max. Marks: 50 Time: 2hourS 10min Date: __/__/__ Test no.:4 Topic: 1. Trigonometry Standard: X 2. Construction 3. Co-ordinate Geometry QUESTION 1 (1 MARK EACH) 1. The terminal arm is on negative y-axis, what are possible angles, what can you say about this angle? 2. Check whether the points (0,-1/4) , (1/3,1) , (2/3,1/4) 3. Draw a seg of length 7cm. divide it in the ratio 3:2 4. If sin Ө 2Ө prove that cos2Ө +sin =1, +cos4 Ө =1 QUESTION 2 (2 MARKS EACH) 1. Prove: √1-cosA/√1+cosA = cosecA-cotA 2. If slope of line joining points (k,-3) and (4,5) is ½, find value of ‘k’ 3. Construct ΔDEF, such that DE=6.5cm, /_E=500, /_F=300, draw EM DF. Measure length of seg EM. 4. A. what is the value of cos2 Ө (1/(1+cot2 Ө =? + )) B. find the value of slope and y-intercept of 2y=3x-6? QUESTION 3 (3 MARKS EACH) (ANY 4) 1. Find the equation of line parallel to 4x+3y=5 and having x-intercept -3 2. If √3tanӨ=3sinӨ find value of sin2Ө 2 Ө where Ө≠ 0 , -cos , 3. Construct circumcircle and incircle of equilateral ΔXYZ each of side 6.3cm 4. The shadow of a tower standing on a level ground is found to be 40m longer when sun’s altitude is 300 than when it is 600. Find height of tower 5. Draw a tangent to a circle with center M and radius 2.8cm, from a point L at a distance of 5cm from M
- 2. QUESTION 4 (4 MARKS EACH) (ANY 4) 1. If tan Ө sin Ө and tan Ө Ө show that m2-n2=4√mn + =m -sin =n, 2. In the figure, two lines are intersecting in point p(3,4). Find equation of line PA and PB Y P A 0 B /_PAO = 450, /_APO = 150 3. Construct ΔSPQ such that SQ=8.3cm, /_SPQ=1270, PM SQ, PM=1.6cm 4. Eliminate Ө if x=3 cosec Ө , +4cot Ө y=4cosec Ө 3cot Ө , - 5. Two poles of height 18m and 7m are erected on the ground. A wire of length 22m ties the top of poles. Find angle made by wire with horizontal QUESTION 5 (5 MARKS each) (ANY2) 1. In right angled ΔABC, /_A=900 and 5sin2B+7cos2C+4/3+8tan260=7/27. If A=3,find perimeter of ΔABC 2. A(5,4), B(-3,-2) and C(1,-8) are the vertices of ΔABC. find equation of median AD and line parallel to AC passing through point B. 3. a. ΔAMT~ΔAHE. In ΔAMT, MA=6.3cm, /_MAT=1200, AT=4.9cm and MA/HA=7/5(3) b. construct ΔXYZ such that YZ=6.2cm, /_z=650 and XY-XZ=2.4cm(2) 4. a. Prove: (1/cosecA – cotA)-(1/sinA) = (1/sinA) – (1/cosecA+cotA) (2) b. If P(-2,4) , Q(4,8) , R(10,5) and S(4,1) are the vertices of a quadrilateral, show that it is a parallelogram. (03) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~BEST OF LUCK~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~