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Question: The mirror of a flashlight is a paraboloid of revolution which is generated by a parabola opens to right and having the vertex at (0, 0). If the distance of the light bulb of the flashlight from the vertex is 4 cm , then choose the equation of the generator parabola. x 2 = 16y y 2 = 16x x 2 = - 16y y 2 = - 16x Steps to derive 1 The distance of the light bulb of the flashlight from the vertex is p 2 The equation of the generator parabola can be taken as y 2 = 4px 3 y 2 = 16x p y 2 = 4px 4 The equation of the generator parabola is y 2 = 16x Hence the right answer is Option B Click Here To Go Back ABCD is a square of area 153.76 cm2. Find the area of the shaded part if P, Q, R, S are th.. ABCD is a square of area 36 cm2. Find the area of the shaded part if P, Q, R and S are t.. If l, m are the lengths of the diagonals of a square, then which of the following is corr.. What is not common between a rectangle and a square?.. Which of the following statements are true for both square and rhombus?1. All the sides ar.. Select the correct statement(s).I. Set of squares is a subset of set of rhombuses.II. Set .. Length of a side and two diagonals of a quadrilateral are given. Which one represents the .. What is the distance between the points (6, 2) and (8, 6)?.. What are the coordinates of the midpoint C of AB‾ where A = (10, 4) and B = (- 6,.. Point A is located at the origin. If point B lies in the third quadrant, then the midpoint.. R(4, 3) is the midpoint of PQ‾. If the coordinates of point P are (10, 10), then f.. Which of the following cannot be the end points of a line segment whose midpoint is (1, - .. If the distance between P(25, a) and Q (10, - 3) is 25 units, then what is the value of a?.. Find the distance between P (9, 12) and the origin O... What are the midpoints of AB‾ and CD‾?.. ΔABC is an isosceles triangle and x = 40. Select the correct statement/statements. 1.. The angles 1 and 2 are in the ratio 3 : 4. Find m∠3... Which of the following is/are true?1. If AO = OD, then ABDC will be a rhombus 2. If AD = .. What shall be the value of x so that AE will be parallel to BC, if y = 106?.. What is the measure of the angle between the bisector of the vertex angle of an isosceles .. In ΔABC, BD : DC is.. In the figure, if ∠BAD = 31o, then ∠DAC equals.. In ΔABC, if x = 64, then find m∠B... In ΔABC, m∠A = m∠B. Find the perimeter of ΔABC if x = 8 cm and y = 10 .. In an isosceles triangle, the vertex angle is one third the sum of the base angles. Find .. In the figure, find the value of x if a = 37... In the figure, MN || PR, ∠LBN = x°, AB‾ = BC‾. Find m∠ABC if x.. In the figure, PQ‾ = PR‾. m∠CPR = x. If x = 108, find m∠PQR... In the figure, AB = BX and AC = CY. m∠ABC = a and m∠ACB = b. What is the measure .. In the figure, AB = AC. Also AE = DE = DC = BC. Find the value of x in degrees... In the figure, ABCD is a parallelogram. AD‾ = DH‾. Find m∠DHB. [Give.. OB‾ and OC‾ are the bisectors of ∠B and ∠C. If m∠A = 78, the.. In ΔPQR, QR‾ is produced to T. If PR‾ = QR‾ = RT‾, t.. In the figure, AB = AC. Prove that ΔAEF is an isosceles triangle... In ΔPQR, QM‾ and RN‾ are altitudes and QM = RN. Then ΔPQR is.. In the figure, AP‾ is drawn parallel to BC‾. Also, AP‾ bisects &a.. In ΔABC, AB = AC. D is the mid-point of BC‾. From D, perpendiculars DM&Ove.. LMN and MNP are two isosceles triangles on opposite sides of the base MN‾. Evaluat.. ABC is a triangle. The bisector of the ∠BCA meets AB‾ at X. A point Y lies on .. In ΔABC, AB‾ = AC‾. If BD‾ and CE‾ are the medians o.. What can be said about the congruency of ΔABC and ΔDEF , if AB = DE and AC = D.. In the triangles ABC and DEF, AB = DE, AC = DF, m∠D > m∠A. Which is greater, BC.. Two corresponding sides of two triangles are congruent. The triangle, which has a larger i.. Which segment is longer, CE‾ or DB‾ with O being the center of the circle?.. What is the relationship between θ and α?.. ABCD is a rhombus. ∠DCB = xo. If x = 75, which is greater, DB or CA?.. Which is the shortest among the following?.. AB > AC and D is any point on side BC. What is the relationship between AB‾ and.. Let S be any point in the interior of ΔPQR. Which is greater: (SQ + SR) or (PQ + PR).. Q is a point on side SR of ΔPSR, such that PQ = PR. Find the relationship between PS.. AD‾ is the bisector of ∠A of ΔABC, where D lies on BC. What is the relat.. AB and CD are the smallest and the largest sides of a quadrilateral ABCD respectively. The.. AC > AB and D is a point on AC‾ such that AB = AD. What is the relation between.. T is a point on side QR‾ of ΔPQR and S is a point such that RT = ST. Which o.. In the figure, ∠E > ∠A and ∠C > ∠D. What is the relation between AD .. Diagonals PR‾ and QS‾ of a quadrilateral PQRS intersect each other at O. W.. If PR > PQ, then which of the following is true?.. S is any point on the side QR‾ of ΔPQR. Find PQ + QR + RP PS... In ΔABC, if AB = BC, then, which of the following is true?.. In ΔABC, BE‾ and CF‾ are the altitudes and they intersect inside the.. In ΔABC, AB = AC. Straight line L cuts AB‾ and AC‾ at P, Q and BC&Ov.. Let P cm and R cm denote perimeter and the sum of the length of the diagonals of a quadril.. In ΔPQR, the bisectors of the angles Q and R meet at M. If PQ > PR, then find the.. In ΔPQR, the sides PQ‾ and PR‾ are produced to X and Y respectively... Use the properties of equality to solve the equation 5a - 2 = 3... Solve the equation 5(12x + 15) = 6x + 19 using the properties of equality... Solve i9d + 7g = 8 for i... Tell what you would first do to solve the equation 2v + 35 = 3u - 3x for v... Write the first step to solve the equation: 9c(7j + 8m9 ) = 46 for m. Do not solve the eq.. What will be your first step to solve the equation 6r - 7z = 8g2b , for r ?.. Solve 6cn + 4j = 5d for n and indicate any restrictions on the values of the variables... Solve the equation 5h-8b3n = 14e for n, and indicate any restrictions on the values of the.. Solve the formula V = 13π r2 h for the variable h. Indicate any restrictions on the val.. Solve the formula p = 2(l + b) for b... Solve the formula v = u + at for a. Indicate any restrictions on the values of the variabl.. Write the first step to solve the equation 53(4 + 5h) = 5e for h... Solve 1f = 1u + 1v for u... Solve 3d(9jv + 8b) = 9e(wv + 5) for v and indicate any restrictions on the values of the v.. Solve F = 95C + 32 for C... Solve s = 2πr(r + h) for h and indicate any restrictions on the values of the variables.. Solve P = 100IRT for I... Solve n = aq(q - r) for q and indicate any restrictions on the values of the variables... Solve 50r = 8a + 253h, r ≠ 0, h ≠ 0, for r... Solve z = 8p + 56q64 for p... Solve V = π(R - s)h for s... Solve 2z + 11e = 13hc for z and indicate any restrictions on the values of the variables... Solve m = y2 -y1x2 -x1 for x1... Solve y = mx + c for m... The total surface area of a cuboid is given by the formula A = 2(lw + wh + lh). Find the h.. The sum of n terms of an Arithmetic Progression, Sn, is given by the formula Sn = n2(a + l.. The volume of a sphere is given by the formula V = 43πr3. Find the radius of a sphere w.. The kinetic energy E, of a body moving with a velocity v is given by the equation E = 12m.. The formula x = p + x-p22p + 1 is used to approximate the square root of a numbe.. Which of the following pair are like radicals?.. What is the number of terms in the product (8 + 7)(8 - 7), after like terms have been comb.. Find the number of terms in the product (417 + 7) (17 - 47), after like terms have been co.. Find the conjugate of the binomial 5 - 7 ... Find the conjugate of the binomial 19 + 2... Simplify : 42 + 52.. Simplify : 11 55 - 8 55..
