Q.6949·Miscellaneous·2018·EasyConsider the following statements: 1. The distance between the lines y = mx + c1 and y = mx + c2 is |c1–c2|/√(1+m^2). 2. The distance between the lines ax + by + c1 = 0 and ax + by + c2 = 0 is |c1–c2|/√(a^2+b^2). 3. The distance between the lines x = c1 and x = c2 is |c1–c2|. Which of the above statements are correct?View question
Q.6950·Miscellaneous·2018·EasyWhat is the equation of straight line passing through the point of intersection of the lines x/2 + y/3 = 1 and x/3 + y/2 = 1, and parallel to the line 4x + 5y – 6 = 0?View question
Q.6951·Miscellaneous·2018·EasyWhat is the distance of the point (2, 3, 4) from the plane 3x – 6y + 2z + 11 = 0?View question
Q.6952·Miscellaneous·2018·EasyCoordinates of the points O, P, Q and R are respectively (0,0,0), (4,6,2m), (2,0,2n) and (2,4,6). Let L, M, N and K be points on the sides OR, OP, PQ and QR respectively such that LMNK is a parallelogram whose two adjacent sides LK and LM are each of length √2. What are the values of m and n respectively?View question
Q.6955·Miscellaneous·2018·EasyConsider the following statements : 1.The angle between the planes 2x – y + z = 1 and x + y + 2z = 3 is π/3 2.The distance between the planes 6x – 3y + 6z + 2 = 0 and 2x – y + 2z + 4 = 0 is 9/10 Which of the above statements is/are correct ?View question
Q.6956·Miscellaneous·2018·EasyConsider the following statements : Statement I : If the line segment joining the points P (m, n) and Q (r, s) subtends an angle α at the origin, then cos α = (mr + ns – nr)/(√(m² + n²)(r² + s²)) Statement II : In any triangle ABC, it is true that a² = b² + c² – 2bc cos A. Which one of the following is correct in respect of the above two statements ?View question
Q.6957·Miscellaneous·2018·EasyMatch List-I with List-II and select the correct answer using the code given below the Lists : List-I (Major Port) List-II (Location) A. Kolkata 1. Landlocked area B. Mormugao 2. In the delta region C. Visakhapatnam 3. On the riverside D. Paradip 4. On the entrance of the estuary Code :View question
Q.6958·Miscellaneous·2018·EasyWhich one of the following types of cloud is characterized by continuous precipitation?View question
Q.6959·Miscellaneous·2018·EasyWhich one of the following Indian States has recorded negative growth of population as per Census 2011?View question
Q.6960·Miscellaneous·2018·Easy‘Majuli’, the river island, is located in which one of the following rivers?View question
Q.6961·Miscellaneous·2018·EasyMatch List-I with List-II and select the correct answer using the code given below the Lists : List-I (Local Wind) List-II (Place) A. Yamo 1. Sudan B. Black Roller 2. France C. Bise 3. Japan D. Haboob 4. North America Code :View question
Q.6962·Miscellaneous·2018·EasyMatch List-I with List-II and select the correct answer using the code given below the Lists : List-I (River Basin) List-II (Town) A. Bhagirathi 1. Lansdowne B. Alaknanda 2. Narendra Nagar C. Nayar 3. Uttarkashi D. Ganga 4. Pauri Code :View question
Q.6963·Miscellaneous·2018·EasyConsider the following statements about a microscope and a telescope : 1. Both the eyepiece and the objective of a microscope are convex lenses. 2. The focal length of the objective of a telescope is larger than the focal length of its eyepiece. 3. The magnification of a telescope increases with the increase in focal length of its objective. 4. The magnification of a microscope increases with the increase in focal length of its objective. Which of the statements given above are correct?View question
Q.6964·Miscellaneous·2018·EasyThe graphs between current (I) and voltage (V) for three linear resistors 1, 2 and 3 are given below : If R₁, R₂ and R₃ are the resistances of these resistors, then which one of the following is correct?View question
Q.6965·Miscellaneous·2018·EasyThe connecting cable of electrical appliances like electric iron, water heater or room heater contains three insulated copper wires of three different colours—red, green and black. Which one of the following is the correct colour code?View question
Q.6966·Miscellaneous·2018·EasyThe time period of oscillation of a simple pendulum having length L and mass of the bob m is given as T. If the length of the pendulum is increased to 4L and the mass of the bob is increased to 2m, then which one of the following is the new time period of oscillation?View question