Model Question Paper CET Physics - WIT Solapur

A. θ + 2φ = B. θ + 2φ = C. θ + 2φ = D. θ + 2φ =90 o 60 o 30 o 45 o173. If a cos 2θ + b sin 2θ = c has a and b as its solution, then the value of tan α + tan β isA. (c + a)/2b B. 2b/(c + a) C. (c - a)/2b D. b/(c + a)174. The perimeter of a certain sector of a circle is equal to the length of the arc of a semi-circlehaving the same radius, the angle of the sector isA. 65 o 24' B. 64 o 24' C. 63 o 24' D. 62 o 24'175. The value of tan -1 x + cot -1 x isA. π/3 B. π/6 C. 2π/3 D. 2π176. If a circle cuts a rectangular hyperbola xy = c 2 in A, B, C, D and the parameters of thesefour points be t 1 , t 2 , t 3 and t 4 respectively, thenA. t 1 t 2 = t 3 t 4 B. t 1 t 2 t 3 t 4 = 1 C. t 1 = t 2 D. t 3 = t 4177. If the normal to y 2 = 12x at (3, 6) meets theparabola again in (27, -8) and the circle on thenormal chord as diameter isA. x 2 + y 2 + 30x + 12y - B. x 2 + y 2 + 30x + 12y27 = 0C. x 2 + y 2 - 30x - 12y -27 = 0+ 27 = 0D. x 2 + y 2 - 30x + 12y -27 = 0178. If the normal any point P on the ellipse cuts the major and the minor axes in G and grespectively and C be the centre of the ellipse, thenA. a 2 (CG) 2 + b 2 (Cg) 2 = (a 2 - b 2 ) 2 B. a 2 (CG) 2 - b 2 (Cg) 2 = (a 2 - b 2 ) 2C. a 2 (CG) 2 - b 2 (Cg) 2 = (a 2 + b 2 ) 2 D. none of the above179. The point of intersection of the tangent at the end of the latus rectum of the parabola y 2 = 4xisA. (-1, 1) B. (1, 1) C. (-1, 0) D. (0, 0)180. If a, b, c are distinct positive numbers, then the expression (b + c - a)(c + a - b)(a + b - c) -abc isA. positive B. negativeC. both negative and positive D. none of the above