Group D Welcome to your Group D 1. If E and F are the midpoints of equal sides AB and AC of a triangle ABC. Then: BF=ACBF=AFCE=ABBF = CE 2. ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively. Then: BE>CFBEBE=CFNone of the above 3. If ABC and DBC are two isosceles triangles on the same base BC. Then: ∠ABD = ∠ACD∠ABD > ∠ACD∠ABD < ∠ACDNone of the above 4. If ABC is an equilateral triangle, then each angle equals to: 90°180°120°60° 5. If AD is an altitude of an isosceles triangle ABC in which AB = AC. Then:BD=CDBD>CDBDNone of the above 6. In a right triangle, the longest side is: PerpendicularHypotenuseBaseNone of the above 7. In triangle ABC, if AB=BC and ∠B = 70, ∠A will be: 7011055130 8. The shadow of a tower is equal to its height at 10-45 a.m. The sun’s altitude is 30°45°60°90° 9. When the length of shadow of a vertical pole is equal to √3 times of its height, the angle of elevation of the Sun’s altitude is 30°45°60°15° 10. The angle of elevation of top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30°. The length of the tower is √3 m2√3 m5√3m10√3 m 11. The angle of elevation of the top of a 15m high tower at a point 15m away from the base of the tower is __ . 45°90°67°25° 12. The ratio of the height of a tower and the length of its shadow on the ground is √3 : 1. What is the angle of elevation of the sun? 60°90°65°25° 13. If a tower 30 m high, casts a shadow 10√3 m long on the ground, then what is the angle of elevation of the sun? 60°90°65°25° 14. If two towers of height h1 and h2 subtends angles of 60° and 30° respectively at the mid points of line joining their feet, find h1 : h2 2:43:14:23:5 15. At some time of the day the length of the shadow of a tower is equal to its height. Find the sun’s altitude at that time. 45°90°67°25° 16. For two triangles, if two angles and the included side of one triangle are equal to two angles and the included side of another triangle. Then the concurrency rule is: SSSASASASNone of the above 17. A triangle in which two sides are equal is called: Scalene triangleEquilateral triangleIsosceles triangleNone of the above 18. The angles opposite to equal sides of a triangle are: EqualUnequalsupplementary anglesComplementary angles 19. In two triangles DEF and PQR, if DE = QR, EF = PR and FD = PQ, then ∆DEF≅∆PQR∆FED≅∆PRQ∆EDF≅∆RPQ∆PQR≅∆EFD 20. In ∆ABC, BC = AB and ∠B = 80°. Then ∠A is equal to: 8004005001000 21. Two sides of a triangle are of length 5 cm and 1.5 cm. The length of the third side of the triangle cannot be: 3.6 cm4.1 cm3.8 cm6.9 cm 22. In ∆PQR, if ∠R > ∠Q, then QR > PRPQ > PRPQ < PRQR < PR 23. D is a point on the side BC of a ΔABC such that AD bisects ∠BAC. Then BD :DC = AB : ACCD > CABD > BABA > BD 24. It is given that Δ ABC ≅ Δ FDE and AB = 5 cm, ∠B = 40° and ∠A = 80°. Then which of the following is true? DF = 5 cm,∠F = 60°DF = 5 cm,∠E = 60°DE = 5 cm,∠E = 60°DE = 5 cm,∠D = 40° 25. All the medians of a triangle are equal in case of a: Scalene triangleRight angled triangleEquilateral triangleIsosceles triangle 26. In the given figure, PS is the median then ∠QPS? 400500800900 27. In triangle PQR if ∠Q = 90°, then: PQ is the longest sideQR is the longest sidePR is the longest sideNone of these 28. In the given figure, if the exterior angle is 135o then ∠P is: 450600800900 29. If in ΔPQR, PQ = PR then: ∠P =∠R∠P =∠Q∠Q =∠RNone of these 30. In a triangle ABC, ∠B = 35° and ∠C = 60°, then ∠A = 80°∠A = 85°∠A = 120°∠A = 145° 31. In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are: Isosceles but not congruentIsosceles and congruentCongruent but not isoscelesNeither congruent nor isosceles 32. In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if: BC = EFAC = DEAC = EFBC = DE 33. A plane is observed to be approaching the airport. It is at a distance of 12 km from the point of observation and makes an angle of elevation of 60°. The height above the ground of the plane is 6√3 m4√3 m3√3 m2√3 m 34. The value of cos 0°. cos 1°. cos 2°. cos 3°… cos 89° cos 90° is 1-101√2 35. If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to √31/21√21 36. If an incident ray passes through the focus, the reflected ray willpass through the polebe parallel to the principal axisretrace its pathpass through the centre of curvature 37. Magnifying power of a concave lens isalways > 1always < 1always = 1can have any value 38. The least distance of distinct vision for a nor¬mal eye isinfinity25 cm2.5 cm25 m 39. The defect of vision in which a person cannot see the distant objects clearly but can see nearby objects clearly is calledmyopiahypermetropiapresbyopiabifocal eye 40. Electric potential is a:scalar quantityvector quantityneither scalar nor vectorsometimes scalar and sometimes vector 41. The best material to make permanent magnets isaluminiumsoft ironcopperalnico 42. The magnetic field is the strongest atmiddle of the magnet.north pole.south pole.both poles. 43. Solar energy can be directly converted to elec-trical energy by which of the following de-vices?solar cookersolar heatersolar cellsolar geyser 44. Which of the following is the ultimate source of energy?WaterSunFossil fuelsUranium 45. Which of the following gases is the main con-stituent of natural gas?MethaneEthanePropaneButane 46. Oxidation is a process which involvesaddition of oxygenaddition of hydrogenremoval of oxygenremoval of hydrogen 47. Which one of the following salts does not con-tain water of crystallisation?Blue vitriolBaking sodaWashing sodaGypsum 48. The most abundant metal in the earth’s crust isIronAluminiumCalciumSodium 49. C_{3}H_{8} belongs to the homologous series ofAlkynesAlkenesAlkanesCyclo alkanes 50. Newlands relation is calledMusical LawLaw of OctavesPeriodic LawAtomic Mass Law Time is Up! Leave a Reply Cancel replyCommentEnter your name or username Enter your email Enter your website URL (optional) Save my name, email, and website in this browser for the next time I comment.