conic section Question no. 16 P is any point on the ellipse 9x 2 + 36y 2 = 324, whose foci are S and S' . Then SP + S'P equals looks_one 3 looks_two 12 looks_3 36 looks_4 324 Answer Option looks_two 12 Solution solution : 9x 2 + 36y 2 = 324 x 2 /36 + y 2 /16 = 1 SP + S'P = 2a = 2*6 = 12 Question no. 17 The equation of the ellipse whose vertices are (∓5,0) and foci at (∓4, 0) is looks_one x 2 /25 + y 2 /9 =1 looks_two x 2 /9 + y 2 /25 =1 looks_3 x 2 /16 + y 2 /25 =1 looks_4 x 2 /25 + y 2 /16 =1 Answer option looks_one x 2 /25 + y 2 /9 =1 Solution solutw2ion : a= 5 ae = 4 e = 4/5 e 2 = 1-b 2 /a 2 16/25 = 1-b 2 /25 b = 3 the equation of ellipse , x 2 /25 + y 2 /9 =1 Question no. 18 The difference of focal distances of any point on hyperbola is equal to looks_one latus rectum looks_two semi-transverse axis looks_3 transverse axis looks_4 semi-latus...

Logarithms Question no. 16 The value of looks_one 1 looks_two 4 looks_3 2 looks_4 3 Answer Option looks_one 1 Solution Solution : Question no. 17 If log 4 7 = x, then log 7 16 is equal to looks_one 2/x looks_two x looks_3 x 2 looks_4 2x Answer Option looks_one 2/x Solution Solution : log 4 7 = x 1/log 7 4 = x 1/log 7 (16) 1/2 = x 2/log 7 (16) = x log 7 (16) = 2/x Question no. 18 If n=2017! then is looks_one 0 looks_two 1 looks_3 n/2 looks_4 n answer Option looks_two 1 Solution Solution : Question no. 19 log(ab)-log|b|= looks_one log a looks_two log|a| looks_3 -loga looks_4 none of these Answer Option looks_two log|a| Solution Solution : log(ab)-log|b| = log |ab/ b| = log|a| Question no. 20 If log 4 5=a and log 5 6=b , then log 3 2 is equal to looks_one 1/(2a+1) looks_two 1/(2b+1) looks_3 2ab+1 looks_4 1/(2ab-1) ...

Quadratic equation Question no. 1 If the sum of the roots of the quadratic equation ax 2 + bx + c = 0 is equal to the sum of the squares of their reciprocals, then are in (2003) looks_one Arithmetic progression looks_two Geometric progression looks_3 Harmonic progression looks_4 Arithmetic−Geometric−progression Answer Option 1. 0 Solution very soon 16 Question no. 2 The number of real solutions of the equation x 2 − 3 |x| + 2 = 0 is (2003) looks_one 2 looks_two 4 looks_3 3 looks_4 1 Answer option Solution ver soon 2 Question no. 3 The value of ‘a’ for which one root of the quadratic equation (a 2 − 5a + 3) x 2 + (3a − 1) x + 2 = 0 is twice as large as the other, is (2003) looks_one 2/3 looks_two -2/3 looks_3 1/3 looks_4 -1/3 Answer option Solution very soon 3 Question no. 4 Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the root...

Straight Lines Question no. 16 The equations of the lines through the origin making an angle of 60° with the line x+√ 3 y+3√ 3 =0 are looks_one y=0, x - √ 3 y=0 looks_two y=0, x + √ 3 y=0 looks_3 x=0, x - √ 3 y=0 looks_4 x=0, x + √ 3 y=0 Answer Option looks_3 x=0, x - √ 3 y=0 Solution Solution : x+√ 3 y+3√ 3 =0 √ 3 y = -x - 3√ 3 m 1 = -1/√ 3 Case 1 : √ 3 - m 2 = m 2 + 1/√ 3 m 2 = 1/√ 3 Equation of Line : y = mx [Lines passes through origin ] y = x/√ 3 Case 2 : -√ 3 + m 2 = m 2 + 1/√ 3 m 2 will be infinity to satisfy the equation therefore x = 0 Question no. 17 A straight line through P(1, 2) is such that its intercept between the axes is bisected at P. Its equation is looks_one x + 2y=5 looks_two x - y + 1= 0 looks_3 x + y -3= 0 looks_4 2x + y -4 = 0 Answer Option looks_4 2x + y -4 = 0 Solution Solution : Mid point (0 + a)/2 = 1 ⇒ a = 2 (0 + b)/2 = 2 ⇒ b...