SREE VIVEKANANDA MATRIC HIGHER SECONDARY SCHOOL KOOTTUMANGALAM, MONDAIKADU(P.O) MODEL EXAMINATION 2021 MATHEMATICSTIME: 1.30hrsMARKS: 505x1=5(4) 12STD:XI. Choose the correct answer1. If (5,7(3,P) and (6,6) are collinear then the value of P is(1)3(2) 6(3) 92. The equation of a line passing through the origin and perpendicular to the line 7x-3y+4-0 is(1) 7x-3y+4-0(2)3x-7y+4=0(3) 3x+7y=03. The area of triangle formed by pts (-5,00,-5) and (5,0) is(1) 0 sq.units (2) 25 sq.units (3) 5 sq.units4. The scope of the line joining (12,3) (4,a) is 1/8. The value of a is(1) 1(2) 4(3) (-5)(4) 7x-3y=0(4) None of these5. (2,1) is the pt of intersection of two lines (1) x-y-3-0,3x-y-7-0 (2) xty 3, 3x+y=7 (3) 3x+y=3, x+y=7 (4)x+3y-3-0. x-y-7-0(4) 2II. Answer the following questions (Any Six) Question No:13 is compulsory 6 x 2= 12 6. Solve 2m +19m+30-0 by factorization method.7. Solve 2x-5x+2-0 by formula method. 8. If the difference between a number and its reciprocal is Find the number9. Determine x-x-1=0 is the nature of roots of quadratic equation 10. If the pts P(-1.5,3) Q(6.-2) R(-3,4) are collinear or not?11. The line r pusses through the pis (-2,2) and (5,8) and the line S passes through the pts (-8,7) and (-2,0). Is the line are perpendicular to S?12. Find the equation of a straight line passing through (5,-3) and (7,-4).13 13. If a, B are the roots of 7x+ax+2=0 and if B-a = Find value of 'a"III. Answer the following questions (Any Five) Question No.20 is compulsory 14. Solve 9x-12x+4 0 by completing the square method.5x5 2515. A passenger train takes 1hr more than an express train to travel a distance of 240km fromChennai to Virudhachalam. The speed of passenger train is less than that of an express train by20km per hour. Find the average speed of both the trains?16. If the roots of equation (c-ab)x-2(a-bc)x+b-ac=0 are real and equal. Prove that either a-0 (or) a'+b+c=3abe.17. If a, B are the roots of equation 2x-x-1=0 then form a equation whose roots are18. Find the value of k if area of a quadrilateral is 28 sq.units, whose vertices are (-4,-2) (-3,k) (3,-2) and (2,3)19. Using the concept of slope, show that the pts (-2,5) (6,-1) and (2,2) are collinear. 20. A line makes positive intercepts on co-ordinate axes whose sum is 7 and its passes through(-3,8). Find its equation.IV. Answer the following questions1x8-821. Construct a APQR which PQ=&em. R = 60° and the median RG from R to PQ is 5.8cm.​